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Finding the Fourth Proportional to 132,767.66, 198,979.26 and 53,838.82

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Solution

The fourth proportional to 132,767.66, 198,979.26 and 53,838.82 is: 80,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,767.66 : 198,979.26 = 53,838.82 : x
  2. Step 2: Convert to fraction form
    132,767.66/198,979.26 = 53,838.82/x
  3. Step 3: Cross multiply
    132,767.66x = 198,979.26 × 53,838.82
  4. Step 4: Simplify right side
    132,767.66x = 10,712,808,562.87
  5. Step 5: Solve for x
    x = 10,712,808,562.87/132,767.66
  6. Step 6: Final answer
    x = 80,688.39

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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.