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Finding the Fourth Proportional to 96,395.60, 144,496.20 and 43,842.80

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Solution

The fourth proportional to 96,395.60, 144,496.20 and 43,842.80 is: 65,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,395.60 : 144,496.20 = 43,842.80 : x
  2. Step 2: Convert to fraction form
    96,395.60/144,496.20 = 43,842.80/x
  3. Step 3: Cross multiply
    96,395.60x = 144,496.20 × 43,842.80
  4. Step 4: Simplify right side
    96,395.60x = 6,335,117,997.36
  5. Step 5: Solve for x
    x = 6,335,117,997.36/96,395.60
  6. Step 6: Final answer
    x = 65,719.99

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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.