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Finding the Fourth Proportional to 170,083.92, 234,701.50 and 100,222.14

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Solution

The fourth proportional to 170,083.92, 234,701.50 and 100,222.14 is: 138,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,083.92 : 234,701.50 = 100,222.14 : x
  2. Step 2: Convert to fraction form
    170,083.92/234,701.50 = 100,222.14/x
  3. Step 3: Cross multiply
    170,083.92x = 234,701.50 × 100,222.14
  4. Step 4: Simplify right side
    170,083.92x = 23,522,286,591.21
  5. Step 5: Solve for x
    x = 23,522,286,591.21/170,083.92
  6. Step 6: Final answer
    x = 138,298.12

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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.