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Finding the Fourth Proportional to 218,708.64, 327,946.32 and 113,266.08

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Solution

The fourth proportional to 218,708.64, 327,946.32 and 113,266.08 is: 169,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,708.64 : 327,946.32 = 113,266.08 : x
  2. Step 2: Convert to fraction form
    218,708.64/327,946.32 = 113,266.08/x
  3. Step 3: Cross multiply
    218,708.64x = 327,946.32 × 113,266.08
  4. Step 4: Simplify right side
    218,708.64x = 37,145,194,116.83
  5. Step 5: Solve for x
    x = 37,145,194,116.83/218,708.64
  6. Step 6: Final answer
    x = 169,838.71

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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.