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Finding the Fourth Proportional to 333,770.41, 500,767.40 and 109,141.21

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Solution

The fourth proportional to 333,770.41, 500,767.40 and 109,141.21 is: 163,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,770.41 : 500,767.40 = 109,141.21 : x
  2. Step 2: Convert to fraction form
    333,770.41/500,767.40 = 109,141.21/x
  3. Step 3: Cross multiply
    333,770.41x = 500,767.40 × 109,141.21
  4. Step 4: Simplify right side
    333,770.41x = 54,654,359,418.85
  5. Step 5: Solve for x
    x = 54,654,359,418.85/333,770.41
  6. Step 6: Final answer
    x = 163,748.37

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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.