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Finding the Fourth Proportional to 437,201.81, 655,826.22 and 137,705.83

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Solution

The fourth proportional to 437,201.81, 655,826.22 and 137,705.83 is: 206,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,201.81 : 655,826.22 = 137,705.83 : x
  2. Step 2: Convert to fraction form
    437,201.81/655,826.22 = 137,705.83/x
  3. Step 3: Cross multiply
    437,201.81x = 655,826.22 × 137,705.83
  4. Step 4: Simplify right side
    437,201.81x = 90,311,092,321.30
  5. Step 5: Solve for x
    x = 90,311,092,321.30/437,201.81
  6. Step 6: Final answer
    x = 206,566.15

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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.