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Finding the Fourth Proportional to 132,006.16, 197,963.16 and 53,099.92

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Solution

The fourth proportional to 132,006.16, 197,963.16 and 53,099.92 is: 79,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,006.16 : 197,963.16 = 53,099.92 : x
  2. Step 2: Convert to fraction form
    132,006.16/197,963.16 = 53,099.92/x
  3. Step 3: Cross multiply
    132,006.16x = 197,963.16 × 53,099.92
  4. Step 4: Simplify right side
    132,006.16x = 10,511,827,958.95
  5. Step 5: Solve for x
    x = 10,511,827,958.95/132,006.16
  6. Step 6: Final answer
    x = 79,631.34

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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.