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Finding the Fourth Proportional to 441,705.17, 662,659.83 and 138,082.14

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Solution

The fourth proportional to 441,705.17, 662,659.83 and 138,082.14 is: 207,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,705.17 : 662,659.83 = 138,082.14 : x
  2. Step 2: Convert to fraction form
    441,705.17/662,659.83 = 138,082.14/x
  3. Step 3: Cross multiply
    441,705.17x = 662,659.83 × 138,082.14
  4. Step 4: Simplify right side
    441,705.17x = 91,501,487,418.44
  5. Step 5: Solve for x
    x = 91,501,487,418.44/441,705.17
  6. Step 6: Final answer
    x = 207,155.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.