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Finding the Fourth Proportional to 218,348.64, 326,844.96 and 118,260.24

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Solution

The fourth proportional to 218,348.64, 326,844.96 and 118,260.24 is: 177,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,348.64 : 326,844.96 = 118,260.24 : x
  2. Step 2: Convert to fraction form
    218,348.64/326,844.96 = 118,260.24/x
  3. Step 3: Cross multiply
    218,348.64x = 326,844.96 × 118,260.24
  4. Step 4: Simplify right side
    218,348.64x = 38,652,763,412.39
  5. Step 5: Solve for x
    x = 38,652,763,412.39/218,348.64
  6. Step 6: Final answer
    x = 177,023.15

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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.