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Finding the Fourth Proportional to 257,446.80, 386,170.20 and 139,348.80

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Solution

The fourth proportional to 257,446.80, 386,170.20 and 139,348.80 is: 209,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,446.80 : 386,170.20 = 139,348.80 : x
  2. Step 2: Convert to fraction form
    257,446.80/386,170.20 = 139,348.80/x
  3. Step 3: Cross multiply
    257,446.80x = 386,170.20 × 139,348.80
  4. Step 4: Simplify right side
    257,446.80x = 53,812,353,965.76
  5. Step 5: Solve for x
    x = 53,812,353,965.76/257,446.80
  6. Step 6: Final answer
    x = 209,023.20

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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.