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Finding the Fourth Proportional to 174,496.60, 261,744.90 and 156,781.90

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Solution

The fourth proportional to 174,496.60, 261,744.90 and 156,781.90 is: 235,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,496.60 : 261,744.90 = 156,781.90 : x
  2. Step 2: Convert to fraction form
    174,496.60/261,744.90 = 156,781.90/x
  3. Step 3: Cross multiply
    174,496.60x = 261,744.90 × 156,781.90
  4. Step 4: Simplify right side
    174,496.60x = 41,036,862,737.31
  5. Step 5: Solve for x
    x = 41,036,862,737.31/174,496.60
  6. Step 6: Final answer
    x = 235,172.85

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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.