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Finding the Fourth Proportional to 328,201.85, 492,259.03 and 91,524.71

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Solution

The fourth proportional to 328,201.85, 492,259.03 and 91,524.71 is: 137,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,201.85 : 492,259.03 = 91,524.71 : x
  2. Step 2: Convert to fraction form
    328,201.85/492,259.03 = 91,524.71/x
  3. Step 3: Cross multiply
    328,201.85x = 492,259.03 × 91,524.71
  4. Step 4: Simplify right side
    328,201.85x = 45,053,863,198.51
  5. Step 5: Solve for x
    x = 45,053,863,198.51/328,201.85
  6. Step 6: Final answer
    x = 137,274.86

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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.