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Finding the Fourth Proportional to 160,696.74, 221,757.98 and 89,076.14

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Solution

The fourth proportional to 160,696.74, 221,757.98 and 89,076.14 is: 122,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,696.74 : 221,757.98 = 89,076.14 : x
  2. Step 2: Convert to fraction form
    160,696.74/221,757.98 = 89,076.14/x
  3. Step 3: Cross multiply
    160,696.74x = 221,757.98 × 89,076.14
  4. Step 4: Simplify right side
    160,696.74x = 19,753,343,318.43
  5. Step 5: Solve for x
    x = 19,753,343,318.43/160,696.74
  6. Step 6: Final answer
    x = 122,923.11

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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.