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Finding the Fourth Proportional to 270,205.82, 372,885.49 and 147,698.36

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Solution

The fourth proportional to 270,205.82, 372,885.49 and 147,698.36 is: 203,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,205.82 : 372,885.49 = 147,698.36 : x
  2. Step 2: Convert to fraction form
    270,205.82/372,885.49 = 147,698.36/x
  3. Step 3: Cross multiply
    270,205.82x = 372,885.49 × 147,698.36
  4. Step 4: Simplify right side
    270,205.82x = 55,074,573,107.12
  5. Step 5: Solve for x
    x = 55,074,573,107.12/270,205.82
  6. Step 6: Final answer
    x = 203,824.53

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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.