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Finding the Fourth Proportional to 226,161, 339,397.02 and 78,417

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Solution

The fourth proportional to 226,161, 339,397.02 and 78,417 is: 117,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,161 : 339,397.02 = 78,417 : x
  2. Step 2: Convert to fraction form
    226,161/339,397.02 = 78,417/x
  3. Step 3: Cross multiply
    226,161x = 339,397.02 × 78,417
  4. Step 4: Simplify right side
    226,161x = 26,614,496,117.34
  5. Step 5: Solve for x
    x = 26,614,496,117.34/226,161
  6. Step 6: Final answer
    x = 117,679.42

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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.