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Finding the Fourth Proportional to 219,803.20, 329,704.80 and 219,803.20

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Solution

The fourth proportional to 219,803.20, 329,704.80 and 219,803.20 is: 329,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,803.20 : 329,704.80 = 219,803.20 : x
  2. Step 2: Convert to fraction form
    219,803.20/329,704.80 = 219,803.20/x
  3. Step 3: Cross multiply
    219,803.20x = 329,704.80 × 219,803.20
  4. Step 4: Simplify right side
    219,803.20x = 72,470,170,095.36
  5. Step 5: Solve for x
    x = 72,470,170,095.36/219,803.20
  6. Step 6: Final answer
    x = 329,704.80

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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.