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Finding the Fourth Proportional to 218,709.64, 327,947.82 and 113,267.08

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Solution

The fourth proportional to 218,709.64, 327,947.82 and 113,267.08 is: 169,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.64 : 327,947.82 = 113,267.08 : x
  2. Step 2: Convert to fraction form
    218,709.64/327,947.82 = 113,267.08/x
  3. Step 3: Cross multiply
    218,709.64x = 327,947.82 × 113,267.08
  4. Step 4: Simplify right side
    218,709.64x = 37,145,691,963.77
  5. Step 5: Solve for x
    x = 37,145,691,963.77/218,709.64
  6. Step 6: Final answer
    x = 169,840.21

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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.