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Finding the Fourth Proportional to 148,891, 223,338.12 and 38,083

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Solution

The fourth proportional to 148,891, 223,338.12 and 38,083 is: 57,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,891 : 223,338.12 = 38,083 : x
  2. Step 2: Convert to fraction form
    148,891/223,338.12 = 38,083/x
  3. Step 3: Cross multiply
    148,891x = 223,338.12 × 38,083
  4. Step 4: Simplify right side
    148,891x = 8,505,385,623.96
  5. Step 5: Solve for x
    x = 8,505,385,623.96/148,891
  6. Step 6: Final answer
    x = 57,124.91

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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.