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Finding the Fourth Proportional to 311,013.09, 466,540.80 and 105,764.16

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Solution

The fourth proportional to 311,013.09, 466,540.80 and 105,764.16 is: 158,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,013.09 : 466,540.80 = 105,764.16 : x
  2. Step 2: Convert to fraction form
    311,013.09/466,540.80 = 105,764.16/x
  3. Step 3: Cross multiply
    311,013.09x = 466,540.80 × 105,764.16
  4. Step 4: Simplify right side
    311,013.09x = 49,343,295,817.73
  5. Step 5: Solve for x
    x = 49,343,295,817.73/311,013.09
  6. Step 6: Final answer
    x = 158,653.44

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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.