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Finding the Fourth Proportional to 257,812.20, 386,718.30 and 139,714.20

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Solution

The fourth proportional to 257,812.20, 386,718.30 and 139,714.20 is: 209,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,812.20 : 386,718.30 = 139,714.20 : x
  2. Step 2: Convert to fraction form
    257,812.20/386,718.30 = 139,714.20/x
  3. Step 3: Cross multiply
    257,812.20x = 386,718.30 × 139,714.20
  4. Step 4: Simplify right side
    257,812.20x = 54,030,037,909.86
  5. Step 5: Solve for x
    x = 54,030,037,909.86/257,812.20
  6. Step 6: Final answer
    x = 209,571.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.