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Finding the Fourth Proportional to 219,013.20, 328,276.80 and 85,849.20

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Solution

The fourth proportional to 219,013.20, 328,276.80 and 85,849.20 is: 128,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,013.20 : 328,276.80 = 85,849.20 : x
  2. Step 2: Convert to fraction form
    219,013.20/328,276.80 = 85,849.20/x
  3. Step 3: Cross multiply
    219,013.20x = 328,276.80 × 85,849.20
  4. Step 4: Simplify right side
    219,013.20x = 28,182,300,658.56
  5. Step 5: Solve for x
    x = 28,182,300,658.56/219,013.20
  6. Step 6: Final answer
    x = 128,678.55

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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.