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Finding the Fourth Proportional to 185,462.60, 278,266.80 and 73,123.70

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Solution

The fourth proportional to 185,462.60, 278,266.80 and 73,123.70 is: 109,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,462.60 : 278,266.80 = 73,123.70 : x
  2. Step 2: Convert to fraction form
    185,462.60/278,266.80 = 73,123.70/x
  3. Step 3: Cross multiply
    185,462.60x = 278,266.80 × 73,123.70
  4. Step 4: Simplify right side
    185,462.60x = 20,347,898,003.16
  5. Step 5: Solve for x
    x = 20,347,898,003.16/185,462.60
  6. Step 6: Final answer
    x = 109,714.29

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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.