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Finding the Fourth Proportional to 138,895.29, 208,343.04 and 33,714.36

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Solution

The fourth proportional to 138,895.29, 208,343.04 and 33,714.36 is: 50,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,895.29 : 208,343.04 = 33,714.36 : x
  2. Step 2: Convert to fraction form
    138,895.29/208,343.04 = 33,714.36/x
  3. Step 3: Cross multiply
    138,895.29x = 208,343.04 × 33,714.36
  4. Step 4: Simplify right side
    138,895.29x = 7,024,152,254.05
  5. Step 5: Solve for x
    x = 7,024,152,254.05/138,895.29
  6. Step 6: Final answer
    x = 50,571.57

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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.