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Finding the Fourth Proportional to 144,800.28, 199,824.12 and 88,211.66

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Solution

The fourth proportional to 144,800.28, 199,824.12 and 88,211.66 is: 121,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,800.28 : 199,824.12 = 88,211.66 : x
  2. Step 2: Convert to fraction form
    144,800.28/199,824.12 = 88,211.66/x
  3. Step 3: Cross multiply
    144,800.28x = 199,824.12 × 88,211.66
  4. Step 4: Simplify right side
    144,800.28x = 17,626,816,334.12
  5. Step 5: Solve for x
    x = 17,626,816,334.12/144,800.28
  6. Step 6: Final answer
    x = 121,731.92

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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.