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Finding the Fourth Proportional to 221,377, 332,065.50 and 73,633

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Solution

The fourth proportional to 221,377, 332,065.50 and 73,633 is: 110,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,377 : 332,065.50 = 73,633 : x
  2. Step 2: Convert to fraction form
    221,377/332,065.50 = 73,633/x
  3. Step 3: Cross multiply
    221,377x = 332,065.50 × 73,633
  4. Step 4: Simplify right side
    221,377x = 24,450,978,961.50
  5. Step 5: Solve for x
    x = 24,450,978,961.50/221,377
  6. Step 6: Final answer
    x = 110,449.50

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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.