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Finding the Fourth Proportional to 218,983.20, 328,378.80 and 100,615.20

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Solution

The fourth proportional to 218,983.20, 328,378.80 and 100,615.20 is: 150,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,983.20 : 328,378.80 = 100,615.20 : x
  2. Step 2: Convert to fraction form
    218,983.20/328,378.80 = 100,615.20/x
  3. Step 3: Cross multiply
    218,983.20x = 328,378.80 × 100,615.20
  4. Step 4: Simplify right side
    218,983.20x = 33,039,898,637.76
  5. Step 5: Solve for x
    x = 33,039,898,637.76/218,983.20
  6. Step 6: Final answer
    x = 150,878.69

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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.