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Finding the Fourth Proportional to 207,463.68, 286,249.32 and 116,802

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Solution

The fourth proportional to 207,463.68, 286,249.32 and 116,802 is: 161,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,463.68 : 286,249.32 = 116,802 : x
  2. Step 2: Convert to fraction form
    207,463.68/286,249.32 = 116,802/x
  3. Step 3: Cross multiply
    207,463.68x = 286,249.32 × 116,802
  4. Step 4: Simplify right side
    207,463.68x = 33,434,493,074.64
  5. Step 5: Solve for x
    x = 33,434,493,074.64/207,463.68
  6. Step 6: Final answer
    x = 161,158.30

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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.