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Finding the Fourth Proportional to 302,821.75, 454,232.67 and 81,205.75

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Solution

The fourth proportional to 302,821.75, 454,232.67 and 81,205.75 is: 121,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,821.75 : 454,232.67 = 81,205.75 : x
  2. Step 2: Convert to fraction form
    302,821.75/454,232.67 = 81,205.75/x
  3. Step 3: Cross multiply
    302,821.75x = 454,232.67 × 81,205.75
  4. Step 4: Simplify right side
    302,821.75x = 36,886,304,641.85
  5. Step 5: Solve for x
    x = 36,886,304,641.85/302,821.75
  6. Step 6: Final answer
    x = 121,808.64

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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.