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Finding the Fourth Proportional to 133,469.34, 200,235.15 and 38,701.50

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Solution

The fourth proportional to 133,469.34, 200,235.15 and 38,701.50 is: 58,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,469.34 : 200,235.15 = 38,701.50 : x
  2. Step 2: Convert to fraction form
    133,469.34/200,235.15 = 38,701.50/x
  3. Step 3: Cross multiply
    133,469.34x = 200,235.15 × 38,701.50
  4. Step 4: Simplify right side
    133,469.34x = 7,749,400,657.73
  5. Step 5: Solve for x
    x = 7,749,400,657.73/133,469.34
  6. Step 6: Final answer
    x = 58,061.28

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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.