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Finding the Fourth Proportional to 132,592.14, 198,826.54 and 48,293.61

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Solution

The fourth proportional to 132,592.14, 198,826.54 and 48,293.61 is: 72,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,592.14 : 198,826.54 = 48,293.61 : x
  2. Step 2: Convert to fraction form
    132,592.14/198,826.54 = 48,293.61/x
  3. Step 3: Cross multiply
    132,592.14x = 198,826.54 × 48,293.61
  4. Step 4: Simplify right side
    132,592.14x = 9,602,051,380.41
  5. Step 5: Solve for x
    x = 9,602,051,380.41/132,592.14
  6. Step 6: Final answer
    x = 72,417.96

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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.