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Finding the Fourth Proportional to 154,312.43, 231,487.14 and 54,452

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Solution

The fourth proportional to 154,312.43, 231,487.14 and 54,452 is: 81,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,312.43 : 231,487.14 = 54,452 : x
  2. Step 2: Convert to fraction form
    154,312.43/231,487.14 = 54,452/x
  3. Step 3: Cross multiply
    154,312.43x = 231,487.14 × 54,452
  4. Step 4: Simplify right side
    154,312.43x = 12,604,937,747.28
  5. Step 5: Solve for x
    x = 12,604,937,747.28/154,312.43
  6. Step 6: Final answer
    x = 81,684.53

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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.