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Finding the Fourth Proportional to 110,424.87, 165,428.33 and 65,311.11

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Solution

The fourth proportional to 110,424.87, 165,428.33 and 65,311.11 is: 97,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,424.87 : 165,428.33 = 65,311.11 : x
  2. Step 2: Convert to fraction form
    110,424.87/165,428.33 = 65,311.11/x
  3. Step 3: Cross multiply
    110,424.87x = 165,428.33 × 65,311.11
  4. Step 4: Simplify right side
    110,424.87x = 10,804,307,531.19
  5. Step 5: Solve for x
    x = 10,804,307,531.19/110,424.87
  6. Step 6: Final answer
    x = 97,843.06

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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.