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Finding the Fourth Proportional to 102,253.60, 153,405.84 and 81,272.80

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Solution

The fourth proportional to 102,253.60, 153,405.84 and 81,272.80 is: 121,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253.60 : 153,405.84 = 81,272.80 : x
  2. Step 2: Convert to fraction form
    102,253.60/153,405.84 = 81,272.80/x
  3. Step 3: Cross multiply
    102,253.60x = 153,405.84 × 81,272.80
  4. Step 4: Simplify right side
    102,253.60x = 12,467,722,153.15
  5. Step 5: Solve for x
    x = 12,467,722,153.15/102,253.60
  6. Step 6: Final answer
    x = 121,929.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.