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Finding the Fourth Proportional to 138,598.74, 207,896.28 and 33,416.88

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Solution

The fourth proportional to 138,598.74, 207,896.28 and 33,416.88 is: 50,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,598.74 : 207,896.28 = 33,416.88 : x
  2. Step 2: Convert to fraction form
    138,598.74/207,896.28 = 33,416.88/x
  3. Step 3: Cross multiply
    138,598.74x = 207,896.28 × 33,416.88
  4. Step 4: Simplify right side
    138,598.74x = 6,947,245,041.21
  5. Step 5: Solve for x
    x = 6,947,245,041.21/138,598.74
  6. Step 6: Final answer
    x = 50,124.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.