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Finding the Fourth Proportional to 185,510.66, 278,244.11 and 82,940.36

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Solution

The fourth proportional to 185,510.66, 278,244.11 and 82,940.36 is: 124,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,510.66 : 278,244.11 = 82,940.36 : x
  2. Step 2: Convert to fraction form
    185,510.66/278,244.11 = 82,940.36/x
  3. Step 3: Cross multiply
    185,510.66x = 278,244.11 × 82,940.36
  4. Step 4: Simplify right side
    185,510.66x = 23,077,665,467.41
  5. Step 5: Solve for x
    x = 23,077,665,467.41/185,510.66
  6. Step 6: Final answer
    x = 124,400.75

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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.