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Finding the Fourth Proportional to 128,820.38, 177,772.12 and 72,231.75

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Solution

The fourth proportional to 128,820.38, 177,772.12 and 72,231.75 is: 99,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820.38 : 177,772.12 = 72,231.75 : x
  2. Step 2: Convert to fraction form
    128,820.38/177,772.12 = 72,231.75/x
  3. Step 3: Cross multiply
    128,820.38x = 177,772.12 × 72,231.75
  4. Step 4: Simplify right side
    128,820.38x = 12,840,791,148.23
  5. Step 5: Solve for x
    x = 12,840,791,148.23/128,820.38
  6. Step 6: Final answer
    x = 99,679.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.