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Finding the Fourth Proportional to 174,593.25, 240,930.91 and 102,002.87

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Solution

The fourth proportional to 174,593.25, 240,930.91 and 102,002.87 is: 140,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,593.25 : 240,930.91 = 102,002.87 : x
  2. Step 2: Convert to fraction form
    174,593.25/240,930.91 = 102,002.87/x
  3. Step 3: Cross multiply
    174,593.25x = 240,930.91 × 102,002.87
  4. Step 4: Simplify right side
    174,593.25x = 24,575,644,639.03
  5. Step 5: Solve for x
    x = 24,575,644,639.03/174,593.25
  6. Step 6: Final answer
    x = 140,759.42

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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.