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Finding the Fourth Proportional to 239,662.82, 330,854.54 and 149,047.98

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Solution

The fourth proportional to 239,662.82, 330,854.54 and 149,047.98 is: 205,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,662.82 : 330,854.54 = 149,047.98 : x
  2. Step 2: Convert to fraction form
    239,662.82/330,854.54 = 149,047.98/x
  3. Step 3: Cross multiply
    239,662.82x = 330,854.54 × 149,047.98
  4. Step 4: Simplify right side
    239,662.82x = 49,313,199,206.56
  5. Step 5: Solve for x
    x = 49,313,199,206.56/239,662.82
  6. Step 6: Final answer
    x = 205,760.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.