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Finding the Fourth Proportional to 128,824.32, 177,780.60 and 72,234.48

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Solution

The fourth proportional to 128,824.32, 177,780.60 and 72,234.48 is: 99,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,824.32 : 177,780.60 = 72,234.48 : x
  2. Step 2: Convert to fraction form
    128,824.32/177,780.60 = 72,234.48/x
  3. Step 3: Cross multiply
    128,824.32x = 177,780.60 × 72,234.48
  4. Step 4: Simplify right side
    128,824.32x = 12,841,889,195.09
  5. Step 5: Solve for x
    x = 12,841,889,195.09/128,824.32
  6. Step 6: Final answer
    x = 99,685.29

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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.