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Finding the Fourth Proportional to 254,898.67, 351,753.16 and 140,177.32

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Solution

The fourth proportional to 254,898.67, 351,753.16 and 140,177.32 is: 193,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,898.67 : 351,753.16 = 140,177.32 : x
  2. Step 2: Convert to fraction form
    254,898.67/351,753.16 = 140,177.32/x
  3. Step 3: Cross multiply
    254,898.67x = 351,753.16 × 140,177.32
  4. Step 4: Simplify right side
    254,898.67x = 49,307,813,909.09
  5. Step 5: Solve for x
    x = 49,307,813,909.09/254,898.67
  6. Step 6: Final answer
    x = 193,440.84

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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.