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Finding the Fourth Proportional to 128,902.16, 177,882.30 and 71,538.15

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Solution

The fourth proportional to 128,902.16, 177,882.30 and 71,538.15 is: 98,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.16 : 177,882.30 = 71,538.15 : x
  2. Step 2: Convert to fraction form
    128,902.16/177,882.30 = 71,538.15/x
  3. Step 3: Cross multiply
    128,902.16x = 177,882.30 × 71,538.15
  4. Step 4: Simplify right side
    128,902.16x = 12,725,370,126.37
  5. Step 5: Solve for x
    x = 12,725,370,126.37/128,902.16
  6. Step 6: Final answer
    x = 98,721.16

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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.