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Finding the Fourth Proportional to 138,924.96, 208,384.56 and 33,744.48

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Solution

The fourth proportional to 138,924.96, 208,384.56 and 33,744.48 is: 50,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.96 : 208,384.56 = 33,744.48 : x
  2. Step 2: Convert to fraction form
    138,924.96/208,384.56 = 33,744.48/x
  3. Step 3: Cross multiply
    138,924.96x = 208,384.56 × 33,744.48
  4. Step 4: Simplify right side
    138,924.96x = 7,031,828,617.23
  5. Step 5: Solve for x
    x = 7,031,828,617.23/138,924.96
  6. Step 6: Final answer
    x = 50,616.02

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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.