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Finding the Fourth Proportional to 136,725.74, 205,109.12 and 47,963.61

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Solution

The fourth proportional to 136,725.74, 205,109.12 and 47,963.61 is: 71,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,725.74 : 205,109.12 = 47,963.61 : x
  2. Step 2: Convert to fraction form
    136,725.74/205,109.12 = 47,963.61/x
  3. Step 3: Cross multiply
    136,725.74x = 205,109.12 × 47,963.61
  4. Step 4: Simplify right side
    136,725.74x = 9,837,773,959.03
  5. Step 5: Solve for x
    x = 9,837,773,959.03/136,725.74
  6. Step 6: Final answer
    x = 71,952.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.