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Finding the Fourth Proportional to 185,903.91, 278,855.46 and 52,785.47

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Solution

The fourth proportional to 185,903.91, 278,855.46 and 52,785.47 is: 79,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,903.91 : 278,855.46 = 52,785.47 : x
  2. Step 2: Convert to fraction form
    185,903.91/278,855.46 = 52,785.47/x
  3. Step 3: Cross multiply
    185,903.91x = 278,855.46 × 52,785.47
  4. Step 4: Simplify right side
    185,903.91x = 14,719,517,215.30
  5. Step 5: Solve for x
    x = 14,719,517,215.30/185,903.91
  6. Step 6: Final answer
    x = 79,178.09

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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.