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Finding the Fourth Proportional to 119,367.79, 164,672.33 and 71,538.10

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Solution

The fourth proportional to 119,367.79, 164,672.33 and 71,538.10 is: 98,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367.79 : 164,672.33 = 71,538.10 : x
  2. Step 2: Convert to fraction form
    119,367.79/164,672.33 = 71,538.10/x
  3. Step 3: Cross multiply
    119,367.79x = 164,672.33 × 71,538.10
  4. Step 4: Simplify right side
    119,367.79x = 11,780,344,841.40
  5. Step 5: Solve for x
    x = 11,780,344,841.40/119,367.79
  6. Step 6: Final answer
    x = 98,689.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.