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Finding the Fourth Proportional to 161,817.84, 223,316.18 and 90,198.38

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Solution

The fourth proportional to 161,817.84, 223,316.18 and 90,198.38 is: 124,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,817.84 : 223,316.18 = 90,198.38 : x
  2. Step 2: Convert to fraction form
    161,817.84/223,316.18 = 90,198.38/x
  3. Step 3: Cross multiply
    161,817.84x = 223,316.18 × 90,198.38
  4. Step 4: Simplify right side
    161,817.84x = 20,142,757,663.79
  5. Step 5: Solve for x
    x = 20,142,757,663.79/161,817.84
  6. Step 6: Final answer
    x = 124,477.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.