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Finding the Fourth Proportional to 128,405.52, 177,196.68 and 71,822.16

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Solution

The fourth proportional to 128,405.52, 177,196.68 and 71,822.16 is: 99,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,405.52 : 177,196.68 = 71,822.16 : x
  2. Step 2: Convert to fraction form
    128,405.52/177,196.68 = 71,822.16/x
  3. Step 3: Cross multiply
    128,405.52x = 177,196.68 × 71,822.16
  4. Step 4: Simplify right side
    128,405.52x = 12,726,648,302.43
  5. Step 5: Solve for x
    x = 12,726,648,302.43/128,405.52
  6. Step 6: Final answer
    x = 99,112.94

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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.