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Finding the Fourth Proportional to 132,152.80, 197,824.20 and 72,806.80

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Solution

The fourth proportional to 132,152.80, 197,824.20 and 72,806.80 is: 108,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,152.80 : 197,824.20 = 72,806.80 : x
  2. Step 2: Convert to fraction form
    132,152.80/197,824.20 = 72,806.80/x
  3. Step 3: Cross multiply
    132,152.80x = 197,824.20 × 72,806.80
  4. Step 4: Simplify right side
    132,152.80x = 14,402,946,964.56
  5. Step 5: Solve for x
    x = 14,402,946,964.56/132,152.80
  6. Step 6: Final answer
    x = 108,987.07

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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.