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Finding the Fourth Proportional to 110,117.20, 165,175.80 and 65,721.10

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Solution

The fourth proportional to 110,117.20, 165,175.80 and 65,721.10 is: 98,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,117.20 : 165,175.80 = 65,721.10 : x
  2. Step 2: Convert to fraction form
    110,117.20/165,175.80 = 65,721.10/x
  3. Step 3: Cross multiply
    110,117.20x = 165,175.80 × 65,721.10
  4. Step 4: Simplify right side
    110,117.20x = 10,855,535,269.38
  5. Step 5: Solve for x
    x = 10,855,535,269.38/110,117.20
  6. Step 6: Final answer
    x = 98,581.65

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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.