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Finding the Fourth Proportional to 201,751.70, 302,964.94 and 126,026.48

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Solution

The fourth proportional to 201,751.70, 302,964.94 and 126,026.48 is: 189,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,751.70 : 302,964.94 = 126,026.48 : x
  2. Step 2: Convert to fraction form
    201,751.70/302,964.94 = 126,026.48/x
  3. Step 3: Cross multiply
    201,751.70x = 302,964.94 × 126,026.48
  4. Step 4: Simplify right side
    201,751.70x = 38,181,604,951.61
  5. Step 5: Solve for x
    x = 38,181,604,951.61/201,751.70
  6. Step 6: Final answer
    x = 189,250.47

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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.