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Finding the Fourth Proportional to 204,352.32, 306,543.84 and 54,589.32

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Solution

The fourth proportional to 204,352.32, 306,543.84 and 54,589.32 is: 81,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,352.32 : 306,543.84 = 54,589.32 : x
  2. Step 2: Convert to fraction form
    204,352.32/306,543.84 = 54,589.32/x
  3. Step 3: Cross multiply
    204,352.32x = 306,543.84 × 54,589.32
  4. Step 4: Simplify right side
    204,352.32x = 16,734,019,775.79
  5. Step 5: Solve for x
    x = 16,734,019,775.79/204,352.32
  6. Step 6: Final answer
    x = 81,888.08

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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.