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Finding the Fourth Proportional to 221,726, 332,591.88 and 73,982

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Solution

The fourth proportional to 221,726, 332,591.88 and 73,982 is: 110,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,726 : 332,591.88 = 73,982 : x
  2. Step 2: Convert to fraction form
    221,726/332,591.88 = 73,982/x
  3. Step 3: Cross multiply
    221,726x = 332,591.88 × 73,982
  4. Step 4: Simplify right side
    221,726x = 24,605,812,466.16
  5. Step 5: Solve for x
    x = 24,605,812,466.16/221,726
  6. Step 6: Final answer
    x = 110,973.96

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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.