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Finding the Fourth Proportional to 219,282.28, 328,658.51 and 106,793.93

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Solution

The fourth proportional to 219,282.28, 328,658.51 and 106,793.93 is: 160,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,282.28 : 328,658.51 = 106,793.93 : x
  2. Step 2: Convert to fraction form
    219,282.28/328,658.51 = 106,793.93/x
  3. Step 3: Cross multiply
    219,282.28x = 328,658.51 × 106,793.93
  4. Step 4: Simplify right side
    219,282.28x = 35,098,734,999.48
  5. Step 5: Solve for x
    x = 35,098,734,999.48/219,282.28
  6. Step 6: Final answer
    x = 160,061.89

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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.