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Finding the Fourth Proportional to 160,702.74, 221,766.24 and 89,082.14

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Solution

The fourth proportional to 160,702.74, 221,766.24 and 89,082.14 is: 122,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,702.74 : 221,766.24 = 89,082.14 : x
  2. Step 2: Convert to fraction form
    160,702.74/221,766.24 = 89,082.14/x
  3. Step 3: Cross multiply
    160,702.74x = 221,766.24 × 89,082.14
  4. Step 4: Simplify right side
    160,702.74x = 19,755,411,238.95
  5. Step 5: Solve for x
    x = 19,755,411,238.95/160,702.74
  6. Step 6: Final answer
    x = 122,931.39

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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.