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Finding the Fourth Proportional to 165,471.03, 247,988.49 and 65,576.76

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Solution

The fourth proportional to 165,471.03, 247,988.49 and 65,576.76 is: 98,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,471.03 : 247,988.49 = 65,576.76 : x
  2. Step 2: Convert to fraction form
    165,471.03/247,988.49 = 65,576.76/x
  3. Step 3: Cross multiply
    165,471.03x = 247,988.49 × 65,576.76
  4. Step 4: Simplify right side
    165,471.03x = 16,262,281,691.49
  5. Step 5: Solve for x
    x = 16,262,281,691.49/165,471.03
  6. Step 6: Final answer
    x = 98,278.72

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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.