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Finding the Fourth Proportional to 138,378, 207,567 and 44,883.75

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Solution

The fourth proportional to 138,378, 207,567 and 44,883.75 is: 67,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,378 : 207,567 = 44,883.75 : x
  2. Step 2: Convert to fraction form
    138,378/207,567 = 44,883.75/x
  3. Step 3: Cross multiply
    138,378x = 207,567 × 44,883.75
  4. Step 4: Simplify right side
    138,378x = 9,316,385,336.25
  5. Step 5: Solve for x
    x = 9,316,385,336.25/138,378
  6. Step 6: Final answer
    x = 67,325.63

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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.