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Finding the Fourth Proportional to 257,785.14, 386,627.61 and 129,667.30

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Solution

The fourth proportional to 257,785.14, 386,627.61 and 129,667.30 is: 194,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,785.14 : 386,627.61 = 129,667.30 : x
  2. Step 2: Convert to fraction form
    257,785.14/386,627.61 = 129,667.30/x
  3. Step 3: Cross multiply
    257,785.14x = 386,627.61 × 129,667.30
  4. Step 4: Simplify right side
    257,785.14x = 50,132,958,294.15
  5. Step 5: Solve for x
    x = 50,132,958,294.15/257,785.14
  6. Step 6: Final answer
    x = 194,475.75

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1.5x scale

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.