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Finding the Fourth Proportional to 185,298, 255,651.84 and 113,642.16

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Solution

The fourth proportional to 185,298, 255,651.84 and 113,642.16 is: 156,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,298 : 255,651.84 = 113,642.16 : x
  2. Step 2: Convert to fraction form
    185,298/255,651.84 = 113,642.16/x
  3. Step 3: Cross multiply
    185,298x = 255,651.84 × 113,642.16
  4. Step 4: Simplify right side
    185,298x = 29,052,827,305.57
  5. Step 5: Solve for x
    x = 29,052,827,305.57/185,298
  6. Step 6: Final answer
    x = 156,789.75

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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.