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Finding the Fourth Proportional to 106,559.12, 159,747.96 and 65,035.28

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Solution

The fourth proportional to 106,559.12, 159,747.96 and 65,035.28 is: 97,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,559.12 : 159,747.96 = 65,035.28 : x
  2. Step 2: Convert to fraction form
    106,559.12/159,747.96 = 65,035.28/x
  3. Step 3: Cross multiply
    106,559.12x = 159,747.96 × 65,035.28
  4. Step 4: Simplify right side
    106,559.12x = 10,389,253,308.03
  5. Step 5: Solve for x
    x = 10,389,253,308.03/106,559.12
  6. Step 6: Final answer
    x = 97,497.55

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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.