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Finding the Fourth Proportional to 207,433.92, 286,264.60 and 126,860

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Solution

The fourth proportional to 207,433.92, 286,264.60 and 126,860 is: 175,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,433.92 : 286,264.60 = 126,860 : x
  2. Step 2: Convert to fraction form
    207,433.92/286,264.60 = 126,860/x
  3. Step 3: Cross multiply
    207,433.92x = 286,264.60 × 126,860
  4. Step 4: Simplify right side
    207,433.92x = 36,315,527,156
  5. Step 5: Solve for x
    x = 36,315,527,156/207,433.92
  6. Step 6: Final answer
    x = 175,070.34

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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.