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Finding the Fourth Proportional to 128,738.30, 177,658.82 and 71,377.44

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Solution

The fourth proportional to 128,738.30, 177,658.82 and 71,377.44 is: 98,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,738.30 : 177,658.82 = 71,377.44 : x
  2. Step 2: Convert to fraction form
    128,738.30/177,658.82 = 71,377.44/x
  3. Step 3: Cross multiply
    128,738.30x = 177,658.82 × 71,377.44
  4. Step 4: Simplify right side
    128,738.30x = 12,680,831,009.58
  5. Step 5: Solve for x
    x = 12,680,831,009.58/128,738.30
  6. Step 6: Final answer
    x = 98,500.85

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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.