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Finding the Fourth Proportional to 257,616.86, 386,490.69 and 80,125.20

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Solution

The fourth proportional to 257,616.86, 386,490.69 and 80,125.20 is: 120,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,616.86 : 386,490.69 = 80,125.20 : x
  2. Step 2: Convert to fraction form
    257,616.86/386,490.69 = 80,125.20/x
  3. Step 3: Cross multiply
    257,616.86x = 386,490.69 × 80,125.20
  4. Step 4: Simplify right side
    257,616.86x = 30,967,643,834.39
  5. Step 5: Solve for x
    x = 30,967,643,834.39/257,616.86
  6. Step 6: Final answer
    x = 120,208.14

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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.