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Finding the Fourth Proportional to 128,902.32, 177,882.53 and 71,538.31

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Solution

The fourth proportional to 128,902.32, 177,882.53 and 71,538.31 is: 98,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.32 : 177,882.53 = 71,538.31 : x
  2. Step 2: Convert to fraction form
    128,902.32/177,882.53 = 71,538.31/x
  3. Step 3: Cross multiply
    128,902.32x = 177,882.53 × 71,538.31
  4. Step 4: Simplify right side
    128,902.32x = 12,725,415,456.60
  5. Step 5: Solve for x
    x = 12,725,415,456.60/128,902.32
  6. Step 6: Final answer
    x = 98,721.38

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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.