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Finding the Fourth Proportional to 207,859.68, 286,846.56 and 112,366.38

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Solution

The fourth proportional to 207,859.68, 286,846.56 and 112,366.38 is: 155,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,859.68 : 286,846.56 = 112,366.38 : x
  2. Step 2: Convert to fraction form
    207,859.68/286,846.56 = 112,366.38/x
  3. Step 3: Cross multiply
    207,859.68x = 286,846.56 × 112,366.38
  4. Step 4: Simplify right side
    207,859.68x = 32,231,909,562.65
  5. Step 5: Solve for x
    x = 32,231,909,562.65/207,859.68
  6. Step 6: Final answer
    x = 155,065.71

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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.