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Finding the Fourth Proportional to 128,869.11, 177,838.84 and 71,517.16

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Solution

The fourth proportional to 128,869.11, 177,838.84 and 71,517.16 is: 98,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,869.11 : 177,838.84 = 71,517.16 : x
  2. Step 2: Convert to fraction form
    128,869.11/177,838.84 = 71,517.16/x
  3. Step 3: Cross multiply
    128,869.11x = 177,838.84 × 71,517.16
  4. Step 4: Simplify right side
    128,869.11x = 12,718,529,086.19
  5. Step 5: Solve for x
    x = 12,718,529,086.19/128,869.11
  6. Step 6: Final answer
    x = 98,693.39

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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.