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Finding the Fourth Proportional to 185,324.90, 277,984.92 and 45,083.66

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Solution

The fourth proportional to 185,324.90, 277,984.92 and 45,083.66 is: 67,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,324.90 : 277,984.92 = 45,083.66 : x
  2. Step 2: Convert to fraction form
    185,324.90/277,984.92 = 45,083.66/x
  3. Step 3: Cross multiply
    185,324.90x = 277,984.92 × 45,083.66
  4. Step 4: Simplify right side
    185,324.90x = 12,532,577,618.41
  5. Step 5: Solve for x
    x = 12,532,577,618.41/185,324.90
  6. Step 6: Final answer
    x = 67,624.90

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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.