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Finding the Fourth Proportional to 207,614.38, 286,507.82 and 112,121.06

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Solution

The fourth proportional to 207,614.38, 286,507.82 and 112,121.06 is: 154,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,614.38 : 286,507.82 = 112,121.06 : x
  2. Step 2: Convert to fraction form
    207,614.38/286,507.82 = 112,121.06/x
  3. Step 3: Cross multiply
    207,614.38x = 286,507.82 × 112,121.06
  4. Step 4: Simplify right side
    207,614.38x = 32,123,560,476.69
  5. Step 5: Solve for x
    x = 32,123,560,476.69/207,614.38
  6. Step 6: Final answer
    x = 154,727.05

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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.