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Finding the Fourth Proportional to 128,233.25, 176,961.96 and 71,644.63

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Solution

The fourth proportional to 128,233.25, 176,961.96 and 71,644.63 is: 98,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,233.25 : 176,961.96 = 71,644.63 : x
  2. Step 2: Convert to fraction form
    128,233.25/176,961.96 = 71,644.63/x
  3. Step 3: Cross multiply
    128,233.25x = 176,961.96 × 71,644.63
  4. Step 4: Simplify right side
    128,233.25x = 12,678,374,148.27
  5. Step 5: Solve for x
    x = 12,678,374,148.27/128,233.25
  6. Step 6: Final answer
    x = 98,869.63

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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.