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Finding the Fourth Proportional to 219,882.60, 329,823.90 and 149,023.80

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Solution

The fourth proportional to 219,882.60, 329,823.90 and 149,023.80 is: 223,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,882.60 : 329,823.90 = 149,023.80 : x
  2. Step 2: Convert to fraction form
    219,882.60/329,823.90 = 149,023.80/x
  3. Step 3: Cross multiply
    219,882.60x = 329,823.90 × 149,023.80
  4. Step 4: Simplify right side
    219,882.60x = 49,151,610,908.82
  5. Step 5: Solve for x
    x = 49,151,610,908.82/219,882.60
  6. Step 6: Final answer
    x = 223,535.70

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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.