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Finding the Fourth Proportional to 227,666.34, 341,393.13 and 132,923.88

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Solution

The fourth proportional to 227,666.34, 341,393.13 and 132,923.88 is: 199,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,666.34 : 341,393.13 = 132,923.88 : x
  2. Step 2: Convert to fraction form
    227,666.34/341,393.13 = 132,923.88/x
  3. Step 3: Cross multiply
    227,666.34x = 341,393.13 × 132,923.88
  4. Step 4: Simplify right side
    227,666.34x = 45,379,299,444.94
  5. Step 5: Solve for x
    x = 45,379,299,444.94/227,666.34
  6. Step 6: Final answer
    x = 199,323.71

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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.