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Finding the Fourth Proportional to 110,273.80, 165,082.65 and 65,877.70

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Solution

The fourth proportional to 110,273.80, 165,082.65 and 65,877.70 is: 98,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,273.80 : 165,082.65 = 65,877.70 : x
  2. Step 2: Convert to fraction form
    110,273.80/165,082.65 = 65,877.70/x
  3. Step 3: Cross multiply
    110,273.80x = 165,082.65 × 65,877.70
  4. Step 4: Simplify right side
    110,273.80x = 10,875,265,291.91
  5. Step 5: Solve for x
    x = 10,875,265,291.91/110,273.80
  6. Step 6: Final answer
    x = 98,620.57

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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.