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Finding the Fourth Proportional to 132,863.10, 199,294.65 and 97,871.10

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Solution

The fourth proportional to 132,863.10, 199,294.65 and 97,871.10 is: 146,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,863.10 : 199,294.65 = 97,871.10 : x
  2. Step 2: Convert to fraction form
    132,863.10/199,294.65 = 97,871.10/x
  3. Step 3: Cross multiply
    132,863.10x = 199,294.65 × 97,871.10
  4. Step 4: Simplify right side
    132,863.10x = 19,505,186,619.62
  5. Step 5: Solve for x
    x = 19,505,186,619.62/132,863.10
  6. Step 6: Final answer
    x = 146,806.65

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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.