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Finding the Fourth Proportional to 333,771.41, 500,768.90 and 109,142.21

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Solution

The fourth proportional to 333,771.41, 500,768.90 and 109,142.21 is: 163,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,771.41 : 500,768.90 = 109,142.21 : x
  2. Step 2: Convert to fraction form
    333,771.41/500,768.90 = 109,142.21/x
  3. Step 3: Cross multiply
    333,771.41x = 500,768.90 × 109,142.21
  4. Step 4: Simplify right side
    333,771.41x = 54,655,024,445.27
  5. Step 5: Solve for x
    x = 54,655,024,445.27/333,771.41
  6. Step 6: Final answer
    x = 163,749.87

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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.