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Finding the Fourth Proportional to 257,138.80, 385,708.20 and 67,598.80

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Solution

The fourth proportional to 257,138.80, 385,708.20 and 67,598.80 is: 101,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,138.80 : 385,708.20 = 67,598.80 : x
  2. Step 2: Convert to fraction form
    257,138.80/385,708.20 = 67,598.80/x
  3. Step 3: Cross multiply
    257,138.80x = 385,708.20 × 67,598.80
  4. Step 4: Simplify right side
    257,138.80x = 26,073,411,470.16
  5. Step 5: Solve for x
    x = 26,073,411,470.16/257,138.80
  6. Step 6: Final answer
    x = 101,398.20

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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.