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Finding the Fourth Proportional to 109,319.34, 150,930.30 and 89,224.14

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Solution

The fourth proportional to 109,319.34, 150,930.30 and 89,224.14 is: 123,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,319.34 : 150,930.30 = 89,224.14 : x
  2. Step 2: Convert to fraction form
    109,319.34/150,930.30 = 89,224.14/x
  3. Step 3: Cross multiply
    109,319.34x = 150,930.30 × 89,224.14
  4. Step 4: Simplify right side
    109,319.34x = 13,466,626,217.44
  5. Step 5: Solve for x
    x = 13,466,626,217.44/109,319.34
  6. Step 6: Final answer
    x = 123,186.13

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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.