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Finding the Fourth Proportional to 102,001.60, 140,447.28 and 84,797.20

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Solution

The fourth proportional to 102,001.60, 140,447.28 and 84,797.20 is: 116,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.60 : 140,447.28 = 84,797.20 : x
  2. Step 2: Convert to fraction form
    102,001.60/140,447.28 = 84,797.20/x
  3. Step 3: Cross multiply
    102,001.60x = 140,447.28 × 84,797.20
  4. Step 4: Simplify right side
    102,001.60x = 11,909,536,091.62
  5. Step 5: Solve for x
    x = 11,909,536,091.62/102,001.60
  6. Step 6: Final answer
    x = 116,758.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.