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Finding the Fourth Proportional to 164,872.92, 247,342.20 and 52,549.50

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Solution

The fourth proportional to 164,872.92, 247,342.20 and 52,549.50 is: 78,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,872.92 : 247,342.20 = 52,549.50 : x
  2. Step 2: Convert to fraction form
    164,872.92/247,342.20 = 52,549.50/x
  3. Step 3: Cross multiply
    164,872.92x = 247,342.20 × 52,549.50
  4. Step 4: Simplify right side
    164,872.92x = 12,997,708,938.90
  5. Step 5: Solve for x
    x = 12,997,708,938.90/164,872.92
  6. Step 6: Final answer
    x = 78,834.71

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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.