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Finding the Fourth Proportional to 160,856.93, 221,982.83 and 89,236.95

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Solution

The fourth proportional to 160,856.93, 221,982.83 and 89,236.95 is: 123,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,856.93 : 221,982.83 = 89,236.95 : x
  2. Step 2: Convert to fraction form
    160,856.93/221,982.83 = 89,236.95/x
  3. Step 3: Cross multiply
    160,856.93x = 221,982.83 × 89,236.95
  4. Step 4: Simplify right side
    160,856.93x = 19,809,070,255.38
  5. Step 5: Solve for x
    x = 19,809,070,255.38/160,856.93
  6. Step 6: Final answer
    x = 123,147.14

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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.