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Finding the Fourth Proportional to 160,709.25, 221,763.85 and 89,083.18

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Solution

The fourth proportional to 160,709.25, 221,763.85 and 89,083.18 is: 122,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,709.25 : 221,763.85 = 89,083.18 : x
  2. Step 2: Convert to fraction form
    160,709.25/221,763.85 = 89,083.18/x
  3. Step 3: Cross multiply
    160,709.25x = 221,763.85 × 89,083.18
  4. Step 4: Simplify right side
    160,709.25x = 19,755,428,967.04
  5. Step 5: Solve for x
    x = 19,755,428,967.04/160,709.25
  6. Step 6: Final answer
    x = 122,926.52

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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.