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Finding the Fourth Proportional to 128,293.74, 177,042.30 and 71,710.38

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Solution

The fourth proportional to 128,293.74, 177,042.30 and 71,710.38 is: 98,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,293.74 : 177,042.30 = 71,710.38 : x
  2. Step 2: Convert to fraction form
    128,293.74/177,042.30 = 71,710.38/x
  3. Step 3: Cross multiply
    128,293.74x = 177,042.30 × 71,710.38
  4. Step 4: Simplify right side
    128,293.74x = 12,695,770,609.07
  5. Step 5: Solve for x
    x = 12,695,770,609.07/128,293.74
  6. Step 6: Final answer
    x = 98,958.61

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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.