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Finding the Fourth Proportional to 218,947.20, 328,420.80 and 140,215.20

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Solution

The fourth proportional to 218,947.20, 328,420.80 and 140,215.20 is: 210,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,947.20 : 328,420.80 = 140,215.20 : x
  2. Step 2: Convert to fraction form
    218,947.20/328,420.80 = 140,215.20/x
  3. Step 3: Cross multiply
    218,947.20x = 328,420.80 × 140,215.20
  4. Step 4: Simplify right side
    218,947.20x = 46,049,588,156.16
  5. Step 5: Solve for x
    x = 46,049,588,156.16/218,947.20
  6. Step 6: Final answer
    x = 210,322.80

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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.