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Finding the Fourth Proportional to 132,095.15, 198,157.76 and 47,894.97

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Solution

The fourth proportional to 132,095.15, 198,157.76 and 47,894.97 is: 71,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,095.15 : 198,157.76 = 47,894.97 : x
  2. Step 2: Convert to fraction form
    132,095.15/198,157.76 = 47,894.97/x
  3. Step 3: Cross multiply
    132,095.15x = 198,157.76 × 47,894.97
  4. Step 4: Simplify right side
    132,095.15x = 9,490,758,979.68
  5. Step 5: Solve for x
    x = 9,490,758,979.68/132,095.15
  6. Step 6: Final answer
    x = 71,847.90

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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.