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Finding the Fourth Proportional to 220,521.24, 330,585 and 102,029.58

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Solution

The fourth proportional to 220,521.24, 330,585 and 102,029.58 is: 152,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,521.24 : 330,585 = 102,029.58 : x
  2. Step 2: Convert to fraction form
    220,521.24/330,585 = 102,029.58/x
  3. Step 3: Cross multiply
    220,521.24x = 330,585 × 102,029.58
  4. Step 4: Simplify right side
    220,521.24x = 33,729,448,704.30
  5. Step 5: Solve for x
    x = 33,729,448,704.30/220,521.24
  6. Step 6: Final answer
    x = 152,953.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.