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Finding the Fourth Proportional to 218,973.60, 328,471.20 and 113,997.60

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Solution

The fourth proportional to 218,973.60, 328,471.20 and 113,997.60 is: 171,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,973.60 : 328,471.20 = 113,997.60 : x
  2. Step 2: Convert to fraction form
    218,973.60/328,471.20 = 113,997.60/x
  3. Step 3: Cross multiply
    218,973.60x = 328,471.20 × 113,997.60
  4. Step 4: Simplify right side
    218,973.60x = 37,444,928,469.12
  5. Step 5: Solve for x
    x = 37,444,928,469.12/218,973.60
  6. Step 6: Final answer
    x = 171,002.02

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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.