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Finding the Fourth Proportional to 138,802.68, 208,204.56 and 33,621.48

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Solution

The fourth proportional to 138,802.68, 208,204.56 and 33,621.48 is: 50,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.68 : 208,204.56 = 33,621.48 : x
  2. Step 2: Convert to fraction form
    138,802.68/208,204.56 = 33,621.48/x
  3. Step 3: Cross multiply
    138,802.68x = 208,204.56 × 33,621.48
  4. Step 4: Simplify right side
    138,802.68x = 7,000,145,449.95
  5. Step 5: Solve for x
    x = 7,000,145,449.95/138,802.68
  6. Step 6: Final answer
    x = 50,432.35

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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.