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Finding the Fourth Proportional to 146,599.20, 219,898.80 and 131,824.80

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Solution

The fourth proportional to 146,599.20, 219,898.80 and 131,824.80 is: 197,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,599.20 : 219,898.80 = 131,824.80 : x
  2. Step 2: Convert to fraction form
    146,599.20/219,898.80 = 131,824.80/x
  3. Step 3: Cross multiply
    146,599.20x = 219,898.80 × 131,824.80
  4. Step 4: Simplify right side
    146,599.20x = 28,988,115,330.24
  5. Step 5: Solve for x
    x = 28,988,115,330.24/146,599.20
  6. Step 6: Final answer
    x = 197,737.20

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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.