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Finding the Fourth Proportional to 317,103.62, 475,677.80 and 127,565.16

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Solution

The fourth proportional to 317,103.62, 475,677.80 and 127,565.16 is: 191,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,103.62 : 475,677.80 = 127,565.16 : x
  2. Step 2: Convert to fraction form
    317,103.62/475,677.80 = 127,565.16/x
  3. Step 3: Cross multiply
    317,103.62x = 475,677.80 × 127,565.16
  4. Step 4: Simplify right side
    317,103.62x = 60,679,914,027.62
  5. Step 5: Solve for x
    x = 60,679,914,027.62/317,103.62
  6. Step 6: Final answer
    x = 191,356.74

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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.