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Finding the Fourth Proportional to 185,772.72, 278,658.36 and 67,443.60

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Solution

The fourth proportional to 185,772.72, 278,658.36 and 67,443.60 is: 101,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,772.72 : 278,658.36 = 67,443.60 : x
  2. Step 2: Convert to fraction form
    185,772.72/278,658.36 = 67,443.60/x
  3. Step 3: Cross multiply
    185,772.72x = 278,658.36 × 67,443.60
  4. Step 4: Simplify right side
    185,772.72x = 18,793,722,968.50
  5. Step 5: Solve for x
    x = 18,793,722,968.50/185,772.72
  6. Step 6: Final answer
    x = 101,165.14

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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.