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Finding the Fourth Proportional to 221,897, 332,845.50 and 74,153

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Solution

The fourth proportional to 221,897, 332,845.50 and 74,153 is: 111,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,897 : 332,845.50 = 74,153 : x
  2. Step 2: Convert to fraction form
    221,897/332,845.50 = 74,153/x
  3. Step 3: Cross multiply
    221,897x = 332,845.50 × 74,153
  4. Step 4: Simplify right side
    221,897x = 24,681,492,361.50
  5. Step 5: Solve for x
    x = 24,681,492,361.50/221,897
  6. Step 6: Final answer
    x = 111,229.50

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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.