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Finding the Fourth Proportional to 338,892.28, 508,342.07 and 102,237.01

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Solution

The fourth proportional to 338,892.28, 508,342.07 and 102,237.01 is: 153,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,892.28 : 508,342.07 = 102,237.01 : x
  2. Step 2: Convert to fraction form
    338,892.28/508,342.07 = 102,237.01/x
  3. Step 3: Cross multiply
    338,892.28x = 508,342.07 × 102,237.01
  4. Step 4: Simplify right side
    338,892.28x = 51,971,373,294.01
  5. Step 5: Solve for x
    x = 51,971,373,294.01/338,892.28
  6. Step 6: Final answer
    x = 153,356.62

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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.