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Finding the Fourth Proportional to 138,884, 208,361.28 and 40,388

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Solution

The fourth proportional to 138,884, 208,361.28 and 40,388 is: 60,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,884 : 208,361.28 = 40,388 : x
  2. Step 2: Convert to fraction form
    138,884/208,361.28 = 40,388/x
  3. Step 3: Cross multiply
    138,884x = 208,361.28 × 40,388
  4. Step 4: Simplify right side
    138,884x = 8,415,295,376.64
  5. Step 5: Solve for x
    x = 8,415,295,376.64/138,884
  6. Step 6: Final answer
    x = 60,592.26

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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.