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Finding the Fourth Proportional to 257,781.83, 386,672.06 and 145,411.04

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Solution

The fourth proportional to 257,781.83, 386,672.06 and 145,411.04 is: 218,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,781.83 : 386,672.06 = 145,411.04 : x
  2. Step 2: Convert to fraction form
    257,781.83/386,672.06 = 145,411.04/x
  3. Step 3: Cross multiply
    257,781.83x = 386,672.06 × 145,411.04
  4. Step 4: Simplify right side
    257,781.83x = 56,226,383,723.13
  5. Step 5: Solve for x
    x = 56,226,383,723.13/257,781.83
  6. Step 6: Final answer
    x = 218,116.17

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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.