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Finding the Fourth Proportional to 146,041.60, 218,824.80 and 132,044.80

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Solution

The fourth proportional to 146,041.60, 218,824.80 and 132,044.80 is: 197,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,041.60 : 218,824.80 = 132,044.80 : x
  2. Step 2: Convert to fraction form
    146,041.60/218,824.80 = 132,044.80/x
  3. Step 3: Cross multiply
    146,041.60x = 218,824.80 × 132,044.80
  4. Step 4: Simplify right side
    146,041.60x = 28,894,676,951.04
  5. Step 5: Solve for x
    x = 28,894,676,951.04/146,041.60
  6. Step 6: Final answer
    x = 197,852.37

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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.