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Finding the Fourth Proportional to 144,095.03, 198,850.38 and 83,680.53

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Solution

The fourth proportional to 144,095.03, 198,850.38 and 83,680.53 is: 115,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,095.03 : 198,850.38 = 83,680.53 : x
  2. Step 2: Convert to fraction form
    144,095.03/198,850.38 = 83,680.53/x
  3. Step 3: Cross multiply
    144,095.03x = 198,850.38 × 83,680.53
  4. Step 4: Simplify right side
    144,095.03x = 16,639,904,129.61
  5. Step 5: Solve for x
    x = 16,639,904,129.61/144,095.03
  6. Step 6: Final answer
    x = 115,478.68

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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.