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Finding the Fourth Proportional to 185,878.80, 278,510.40 and 106,855.20

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Solution

The fourth proportional to 185,878.80, 278,510.40 and 106,855.20 is: 160,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,878.80 : 278,510.40 = 106,855.20 : x
  2. Step 2: Convert to fraction form
    185,878.80/278,510.40 = 106,855.20/x
  3. Step 3: Cross multiply
    185,878.80x = 278,510.40 × 106,855.20
  4. Step 4: Simplify right side
    185,878.80x = 29,760,284,494.08
  5. Step 5: Solve for x
    x = 29,760,284,494.08/185,878.80
  6. Step 6: Final answer
    x = 160,105.86

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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.