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Finding the Fourth Proportional to 132,124.16, 198,185.69 and 47,864.57

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Solution

The fourth proportional to 132,124.16, 198,185.69 and 47,864.57 is: 71,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,124.16 : 198,185.69 = 47,864.57 : x
  2. Step 2: Convert to fraction form
    132,124.16/198,185.69 = 47,864.57/x
  3. Step 3: Cross multiply
    132,124.16x = 198,185.69 × 47,864.57
  4. Step 4: Simplify right side
    132,124.16x = 9,486,072,806.29
  5. Step 5: Solve for x
    x = 9,486,072,806.29/132,124.16
  6. Step 6: Final answer
    x = 71,796.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.