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Finding the Fourth Proportional to 218,971.20, 328,213.80 and 85,807.20

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Solution

The fourth proportional to 218,971.20, 328,213.80 and 85,807.20 is: 128,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.20 : 328,213.80 = 85,807.20 : x
  2. Step 2: Convert to fraction form
    218,971.20/328,213.80 = 85,807.20/x
  3. Step 3: Cross multiply
    218,971.20x = 328,213.80 × 85,807.20
  4. Step 4: Simplify right side
    218,971.20x = 28,163,107,179.36
  5. Step 5: Solve for x
    x = 28,163,107,179.36/218,971.20
  6. Step 6: Final answer
    x = 128,615.58

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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.