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Finding the Fourth Proportional to 243,285.62, 335,733.50 and 135,854.78

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Solution

The fourth proportional to 243,285.62, 335,733.50 and 135,854.78 is: 187,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,285.62 : 335,733.50 = 135,854.78 : x
  2. Step 2: Convert to fraction form
    243,285.62/335,733.50 = 135,854.78/x
  3. Step 3: Cross multiply
    243,285.62x = 335,733.50 × 135,854.78
  4. Step 4: Simplify right side
    243,285.62x = 45,611,000,781.13
  5. Step 5: Solve for x
    x = 45,611,000,781.13/243,285.62
  6. Step 6: Final answer
    x = 187,479.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.