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Finding the Fourth Proportional to 221,704.32, 332,556.96 and 55,492.80

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Solution

The fourth proportional to 221,704.32, 332,556.96 and 55,492.80 is: 83,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,704.32 : 332,556.96 = 55,492.80 : x
  2. Step 2: Convert to fraction form
    221,704.32/332,556.96 = 55,492.80/x
  3. Step 3: Cross multiply
    221,704.32x = 332,556.96 × 55,492.80
  4. Step 4: Simplify right side
    221,704.32x = 18,454,516,869.89
  5. Step 5: Solve for x
    x = 18,454,516,869.89/221,704.32
  6. Step 6: Final answer
    x = 83,239.32

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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.