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Finding the Fourth Proportional to 357,154.38, 535,542.03 and 157,243.14

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Solution

The fourth proportional to 357,154.38, 535,542.03 and 157,243.14 is: 235,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,154.38 : 535,542.03 = 157,243.14 : x
  2. Step 2: Convert to fraction form
    357,154.38/535,542.03 = 157,243.14/x
  3. Step 3: Cross multiply
    357,154.38x = 535,542.03 × 157,243.14
  4. Step 4: Simplify right side
    357,154.38x = 84,210,310,399.17
  5. Step 5: Solve for x
    x = 84,210,310,399.17/357,154.38
  6. Step 6: Final answer
    x = 235,781.26

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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.