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Finding the Fourth Proportional to 207,944.64, 286,964.26 and 112,452

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Solution

The fourth proportional to 207,944.64, 286,964.26 and 112,452 is: 155,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,944.64 : 286,964.26 = 112,452 : x
  2. Step 2: Convert to fraction form
    207,944.64/286,964.26 = 112,452/x
  3. Step 3: Cross multiply
    207,944.64x = 286,964.26 × 112,452
  4. Step 4: Simplify right side
    207,944.64x = 32,269,704,965.52
  5. Step 5: Solve for x
    x = 32,269,704,965.52/207,944.64
  6. Step 6: Final answer
    x = 155,184.12

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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.