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Finding the Fourth Proportional to 207,966.82, 286,994.41 and 112,473.52

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Solution

The fourth proportional to 207,966.82, 286,994.41 and 112,473.52 is: 155,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,966.82 : 286,994.41 = 112,473.52 : x
  2. Step 2: Convert to fraction form
    207,966.82/286,994.41 = 112,473.52/x
  3. Step 3: Cross multiply
    207,966.82x = 286,994.41 × 112,473.52
  4. Step 4: Simplify right side
    207,966.82x = 32,279,269,515.68
  5. Step 5: Solve for x
    x = 32,279,269,515.68/207,966.82
  6. Step 6: Final answer
    x = 155,213.56

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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.