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Finding the Fourth Proportional to 163,186.92, 244,728.54 and 52,353

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Solution

The fourth proportional to 163,186.92, 244,728.54 and 52,353 is: 78,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,186.92 : 244,728.54 = 52,353 : x
  2. Step 2: Convert to fraction form
    163,186.92/244,728.54 = 52,353/x
  3. Step 3: Cross multiply
    163,186.92x = 244,728.54 × 52,353
  4. Step 4: Simplify right side
    163,186.92x = 12,812,273,254.62
  5. Step 5: Solve for x
    x = 12,812,273,254.62/163,186.92
  6. Step 6: Final answer
    x = 78,512.87

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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.