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Finding the Fourth Proportional to 132,901.94, 199,294.38 and 48,640.20

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Solution

The fourth proportional to 132,901.94, 199,294.38 and 48,640.20 is: 72,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,901.94 : 199,294.38 = 48,640.20 : x
  2. Step 2: Convert to fraction form
    132,901.94/199,294.38 = 48,640.20/x
  3. Step 3: Cross multiply
    132,901.94x = 199,294.38 × 48,640.20
  4. Step 4: Simplify right side
    132,901.94x = 9,693,718,502.08
  5. Step 5: Solve for x
    x = 9,693,718,502.08/132,901.94
  6. Step 6: Final answer
    x = 72,938.88

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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.