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Finding the Fourth Proportional to 160,640.95, 221,685.80 and 89,022.16

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Solution

The fourth proportional to 160,640.95, 221,685.80 and 89,022.16 is: 122,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,640.95 : 221,685.80 = 89,022.16 : x
  2. Step 2: Convert to fraction form
    160,640.95/221,685.80 = 89,022.16/x
  3. Step 3: Cross multiply
    160,640.95x = 221,685.80 × 89,022.16
  4. Step 4: Simplify right side
    160,640.95x = 19,734,948,312.22
  5. Step 5: Solve for x
    x = 19,734,948,312.22/160,640.95
  6. Step 6: Final answer
    x = 122,851.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.