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Finding the Fourth Proportional to 161,603.94, 242,256.24 and 82,543.80

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Solution

The fourth proportional to 161,603.94, 242,256.24 and 82,543.80 is: 123,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,603.94 : 242,256.24 = 82,543.80 : x
  2. Step 2: Convert to fraction form
    161,603.94/242,256.24 = 82,543.80/x
  3. Step 3: Cross multiply
    161,603.94x = 242,256.24 × 82,543.80
  4. Step 4: Simplify right side
    161,603.94x = 19,996,750,623.31
  5. Step 5: Solve for x
    x = 19,996,750,623.31/161,603.94
  6. Step 6: Final answer
    x = 123,739.25

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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.