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Finding the Fourth Proportional to 96,188.80, 144,185.28 and 65,027.20

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Solution

The fourth proportional to 96,188.80, 144,185.28 and 65,027.20 is: 97,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,188.80 : 144,185.28 = 65,027.20 : x
  2. Step 2: Convert to fraction form
    96,188.80/144,185.28 = 65,027.20/x
  3. Step 3: Cross multiply
    96,188.80x = 144,185.28 × 65,027.20
  4. Step 4: Simplify right side
    96,188.80x = 9,375,965,039.62
  5. Step 5: Solve for x
    x = 9,375,965,039.62/96,188.80
  6. Step 6: Final answer
    x = 97,474.60

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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.