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Finding the Fourth Proportional to 160,793.64, 221,891.76 and 89,172.12

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Solution

The fourth proportional to 160,793.64, 221,891.76 and 89,172.12 is: 123,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,793.64 : 221,891.76 = 89,172.12 : x
  2. Step 2: Convert to fraction form
    160,793.64/221,891.76 = 89,172.12/x
  3. Step 3: Cross multiply
    160,793.64x = 221,891.76 × 89,172.12
  4. Step 4: Simplify right side
    160,793.64x = 19,786,558,649.73
  5. Step 5: Solve for x
    x = 19,786,558,649.73/160,793.64
  6. Step 6: Final answer
    x = 123,055.60

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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.