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Finding the Fourth Proportional to 138,048.50, 207,077.38 and 38,200.34

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Solution

The fourth proportional to 138,048.50, 207,077.38 and 38,200.34 is: 57,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,048.50 : 207,077.38 = 38,200.34 : x
  2. Step 2: Convert to fraction form
    138,048.50/207,077.38 = 38,200.34/x
  3. Step 3: Cross multiply
    138,048.50x = 207,077.38 × 38,200.34
  4. Step 4: Simplify right side
    138,048.50x = 7,910,426,322.31
  5. Step 5: Solve for x
    x = 7,910,426,322.31/138,048.50
  6. Step 6: Final answer
    x = 57,301.79

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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.