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Finding the Fourth Proportional to 333,807.89, 500,742.61 and 109,169.57

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Solution

The fourth proportional to 333,807.89, 500,742.61 and 109,169.57 is: 163,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,807.89 : 500,742.61 = 109,169.57 : x
  2. Step 2: Convert to fraction form
    333,807.89/500,742.61 = 109,169.57/x
  3. Step 3: Cross multiply
    333,807.89x = 500,742.61 × 109,169.57
  4. Step 4: Simplify right side
    333,807.89x = 54,665,856,393.31
  5. Step 5: Solve for x
    x = 54,665,856,393.31/333,807.89
  6. Step 6: Final answer
    x = 163,764.43

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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.