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Finding the Fourth Proportional to 215,680.80, 323,521.20 and 110,464.80

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Solution

The fourth proportional to 215,680.80, 323,521.20 and 110,464.80 is: 165,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,680.80 : 323,521.20 = 110,464.80 : x
  2. Step 2: Convert to fraction form
    215,680.80/323,521.20 = 110,464.80/x
  3. Step 3: Cross multiply
    215,680.80x = 323,521.20 × 110,464.80
  4. Step 4: Simplify right side
    215,680.80x = 35,737,704,653.76
  5. Step 5: Solve for x
    x = 35,737,704,653.76/215,680.80
  6. Step 6: Final answer
    x = 165,697.20

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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.