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Finding the Fourth Proportional to 219,049.20, 328,330.80 and 85,885.20

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Solution

The fourth proportional to 219,049.20, 328,330.80 and 85,885.20 is: 128,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,049.20 : 328,330.80 = 85,885.20 : x
  2. Step 2: Convert to fraction form
    219,049.20/328,330.80 = 85,885.20/x
  3. Step 3: Cross multiply
    219,049.20x = 328,330.80 × 85,885.20
  4. Step 4: Simplify right side
    219,049.20x = 28,198,756,424.16
  5. Step 5: Solve for x
    x = 28,198,756,424.16/219,049.20
  6. Step 6: Final answer
    x = 128,732.52

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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.