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Finding the Fourth Proportional to 185,429.90, 278,144.85 and 185,429.90

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Solution

The fourth proportional to 185,429.90, 278,144.85 and 185,429.90 is: 278,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,429.90 : 278,144.85 = 185,429.90 : x
  2. Step 2: Convert to fraction form
    185,429.90/278,144.85 = 185,429.90/x
  3. Step 3: Cross multiply
    185,429.90x = 278,144.85 × 185,429.90
  4. Step 4: Simplify right side
    185,429.90x = 51,576,371,721.02
  5. Step 5: Solve for x
    x = 51,576,371,721.02/185,429.90
  6. Step 6: Final answer
    x = 278,144.85

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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.