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Finding the Fourth Proportional to 410,232.42, 615,145.92 and 125,854.92

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Solution

The fourth proportional to 410,232.42, 615,145.92 and 125,854.92 is: 188,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,232.42 : 615,145.92 = 125,854.92 : x
  2. Step 2: Convert to fraction form
    410,232.42/615,145.92 = 125,854.92/x
  3. Step 3: Cross multiply
    410,232.42x = 615,145.92 × 125,854.92
  4. Step 4: Simplify right side
    410,232.42x = 77,419,140,549.93
  5. Step 5: Solve for x
    x = 77,419,140,549.93/410,232.42
  6. Step 6: Final answer
    x = 188,720.19

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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.