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Finding the Fourth Proportional to 148,910.50, 223,365.75 and 38,102.50

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Solution

The fourth proportional to 148,910.50, 223,365.75 and 38,102.50 is: 57,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,910.50 : 223,365.75 = 38,102.50 : x
  2. Step 2: Convert to fraction form
    148,910.50/223,365.75 = 38,102.50/x
  3. Step 3: Cross multiply
    148,910.50x = 223,365.75 × 38,102.50
  4. Step 4: Simplify right side
    148,910.50x = 8,510,793,489.38
  5. Step 5: Solve for x
    x = 8,510,793,489.38/148,910.50
  6. Step 6: Final answer
    x = 57,153.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.