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Finding the Fourth Proportional to 221,803.20, 332,753.40 and 109,537.20

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Solution

The fourth proportional to 221,803.20, 332,753.40 and 109,537.20 is: 164,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,803.20 : 332,753.40 = 109,537.20 : x
  2. Step 2: Convert to fraction form
    221,803.20/332,753.40 = 109,537.20/x
  3. Step 3: Cross multiply
    221,803.20x = 332,753.40 × 109,537.20
  4. Step 4: Simplify right side
    221,803.20x = 36,448,875,726.48
  5. Step 5: Solve for x
    x = 36,448,875,726.48/221,803.20
  6. Step 6: Final answer
    x = 164,329.80

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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.