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Finding the Fourth Proportional to 219,123.74, 328,789.70 and 151,759.44

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Solution

The fourth proportional to 219,123.74, 328,789.70 and 151,759.44 is: 227,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,123.74 : 328,789.70 = 151,759.44 : x
  2. Step 2: Convert to fraction form
    219,123.74/328,789.70 = 151,759.44/x
  3. Step 3: Cross multiply
    219,123.74x = 328,789.70 × 151,759.44
  4. Step 4: Simplify right side
    219,123.74x = 49,896,939,990.97
  5. Step 5: Solve for x
    x = 49,896,939,990.97/219,123.74
  6. Step 6: Final answer
    x = 227,711.25

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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.