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Finding the Fourth Proportional to 185,382.84, 255,580.92 and 147,268.90

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Solution

The fourth proportional to 185,382.84, 255,580.92 and 147,268.90 is: 203,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,382.84 : 255,580.92 = 147,268.90 : x
  2. Step 2: Convert to fraction form
    185,382.84/255,580.92 = 147,268.90/x
  3. Step 3: Cross multiply
    185,382.84x = 255,580.92 × 147,268.90
  4. Step 4: Simplify right side
    185,382.84x = 37,639,121,268.86
  5. Step 5: Solve for x
    x = 37,639,121,268.86/185,382.84
  6. Step 6: Final answer
    x = 203,034.54

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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.