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Finding the Fourth Proportional to 150,204.92, 207,264.46 and 119,655.82

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Solution

The fourth proportional to 150,204.92, 207,264.46 and 119,655.82 is: 165,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,204.92 : 207,264.46 = 119,655.82 : x
  2. Step 2: Convert to fraction form
    150,204.92/207,264.46 = 119,655.82/x
  3. Step 3: Cross multiply
    150,204.92x = 207,264.46 × 119,655.82
  4. Step 4: Simplify right side
    150,204.92x = 24,800,398,918.16
  5. Step 5: Solve for x
    x = 24,800,398,918.16/150,204.92
  6. Step 6: Final answer
    x = 165,110.43

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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.