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Finding the Fourth Proportional to 207,799.56, 286,764.71 and 112,306.10

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Solution

The fourth proportional to 207,799.56, 286,764.71 and 112,306.10 is: 154,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,799.56 : 286,764.71 = 112,306.10 : x
  2. Step 2: Convert to fraction form
    207,799.56/286,764.71 = 112,306.10/x
  3. Step 3: Cross multiply
    207,799.56x = 286,764.71 × 112,306.10
  4. Step 4: Simplify right side
    207,799.56x = 32,205,424,202.38
  5. Step 5: Solve for x
    x = 32,205,424,202.38/207,799.56
  6. Step 6: Final answer
    x = 154,983.12

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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.