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Finding the Fourth Proportional to 154,502.52, 231,734.34 and 49,312.68

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Solution

The fourth proportional to 154,502.52, 231,734.34 and 49,312.68 is: 73,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,502.52 : 231,734.34 = 49,312.68 : x
  2. Step 2: Convert to fraction form
    154,502.52/231,734.34 = 49,312.68/x
  3. Step 3: Cross multiply
    154,502.52x = 231,734.34 × 49,312.68
  4. Step 4: Simplify right side
    154,502.52x = 11,427,441,353.43
  5. Step 5: Solve for x
    x = 11,427,441,353.43/154,502.52
  6. Step 6: Final answer
    x = 73,962.82

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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.