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Finding the Fourth Proportional to 151,887.70, 227,722.20 and 85,348.23

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Solution

The fourth proportional to 151,887.70, 227,722.20 and 85,348.23 is: 127,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,887.70 : 227,722.20 = 85,348.23 : x
  2. Step 2: Convert to fraction form
    151,887.70/227,722.20 = 85,348.23/x
  3. Step 3: Cross multiply
    151,887.70x = 227,722.20 × 85,348.23
  4. Step 4: Simplify right side
    151,887.70x = 19,435,686,701.71
  5. Step 5: Solve for x
    x = 19,435,686,701.71/151,887.70
  6. Step 6: Final answer
    x = 127,960.90

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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.