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Finding the Fourth Proportional to 96,802.52, 144,375.76 and 85,033.40

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Solution

The fourth proportional to 96,802.52, 144,375.76 and 85,033.40 is: 126,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802.52 : 144,375.76 = 85,033.40 : x
  2. Step 2: Convert to fraction form
    96,802.52/144,375.76 = 85,033.40/x
  3. Step 3: Cross multiply
    96,802.52x = 144,375.76 × 85,033.40
  4. Step 4: Simplify right side
    96,802.52x = 12,276,761,750.38
  5. Step 5: Solve for x
    x = 12,276,761,750.38/96,802.52
  6. Step 6: Final answer
    x = 126,822.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.