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Finding the Fourth Proportional to 141,309, 211,947.84 and 41,470.02

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Solution

The fourth proportional to 141,309, 211,947.84 and 41,470.02 is: 62,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,309 : 211,947.84 = 41,470.02 : x
  2. Step 2: Convert to fraction form
    141,309/211,947.84 = 41,470.02/x
  3. Step 3: Cross multiply
    141,309x = 211,947.84 × 41,470.02
  4. Step 4: Simplify right side
    141,309x = 8,789,481,163.76
  5. Step 5: Solve for x
    x = 8,789,481,163.76/141,309
  6. Step 6: Final answer
    x = 62,200.43

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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.