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Finding the Fourth Proportional to 160,104.38, 220,990.12 and 105,696.27

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Solution

The fourth proportional to 160,104.38, 220,990.12 and 105,696.27 is: 145,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,104.38 : 220,990.12 = 105,696.27 : x
  2. Step 2: Convert to fraction form
    160,104.38/220,990.12 = 105,696.27/x
  3. Step 3: Cross multiply
    160,104.38x = 220,990.12 × 105,696.27
  4. Step 4: Simplify right side
    160,104.38x = 23,357,831,126.61
  5. Step 5: Solve for x
    x = 23,357,831,126.61/160,104.38
  6. Step 6: Final answer
    x = 145,891.27

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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.