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Finding the Fourth Proportional to 126,643.52, 174,691.86 and 83,623.38

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Solution

The fourth proportional to 126,643.52, 174,691.86 and 83,623.38 is: 115,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,643.52 : 174,691.86 = 83,623.38 : x
  2. Step 2: Convert to fraction form
    126,643.52/174,691.86 = 83,623.38/x
  3. Step 3: Cross multiply
    126,643.52x = 174,691.86 × 83,623.38
  4. Step 4: Simplify right side
    126,643.52x = 14,608,323,791.69
  5. Step 5: Solve for x
    x = 14,608,323,791.69/126,643.52
  6. Step 6: Final answer
    x = 115,349.95

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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.