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Finding the Fourth Proportional to 274,143,373.80, 411,174,681.76 and 89,930,316.22

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Solution

The fourth proportional to 274,143,373.80, 411,174,681.76 and 89,930,316.22 is: 134,882,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,143,373.80 : 411,174,681.76 = 89,930,316.22 : x
  2. Step 2: Convert to fraction form
    274,143,373.80/411,174,681.76 = 89,930,316.22/x
  3. Step 3: Cross multiply
    274,143,373.80x = 411,174,681.76 × 89,930,316.22
  4. Step 4: Simplify right side
    274,143,373.80x = 36,977,069,151,671,848
  5. Step 5: Solve for x
    x = 36,977,069,151,671,848/274,143,373.80
  6. Step 6: Final answer
    x = 134,882,228.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.