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Finding the Fourth Proportional to 207,343.68, 286,272 and 159,512.64

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Solution

The fourth proportional to 207,343.68, 286,272 and 159,512.64 is: 220,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,343.68 : 286,272 = 159,512.64 : x
  2. Step 2: Convert to fraction form
    207,343.68/286,272 = 159,512.64/x
  3. Step 3: Cross multiply
    207,343.68x = 286,272 × 159,512.64
  4. Step 4: Simplify right side
    207,343.68x = 45,664,002,478.08
  5. Step 5: Solve for x
    x = 45,664,002,478.08/207,343.68
  6. Step 6: Final answer
    x = 220,233.39

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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.