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Finding the Fourth Proportional to 185,427.80, 278,076.90 and 96,651.80

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Solution

The fourth proportional to 185,427.80, 278,076.90 and 96,651.80 is: 144,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,427.80 : 278,076.90 = 96,651.80 : x
  2. Step 2: Convert to fraction form
    185,427.80/278,076.90 = 96,651.80/x
  3. Step 3: Cross multiply
    185,427.80x = 278,076.90 × 96,651.80
  4. Step 4: Simplify right side
    185,427.80x = 26,876,632,923.42
  5. Step 5: Solve for x
    x = 26,876,632,923.42/185,427.80
  6. Step 6: Final answer
    x = 144,943.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.