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Finding the Fourth Proportional to 333,782.44, 500,704.44 and 109,144.04

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Solution

The fourth proportional to 333,782.44, 500,704.44 and 109,144.04 is: 163,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,782.44 : 500,704.44 = 109,144.04 : x
  2. Step 2: Convert to fraction form
    333,782.44/500,704.44 = 109,144.04/x
  3. Step 3: Cross multiply
    333,782.44x = 500,704.44 × 109,144.04
  4. Step 4: Simplify right side
    333,782.44x = 54,648,905,427.54
  5. Step 5: Solve for x
    x = 54,648,905,427.54/333,782.44
  6. Step 6: Final answer
    x = 163,726.12

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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.