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Finding the Fourth Proportional to 226,161.56, 339,397.86 and 78,417.56

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Solution

The fourth proportional to 226,161.56, 339,397.86 and 78,417.56 is: 117,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,161.56 : 339,397.86 = 78,417.56 : x
  2. Step 2: Convert to fraction form
    226,161.56/339,397.86 = 78,417.56/x
  3. Step 3: Cross multiply
    226,161.56x = 339,397.86 × 78,417.56
  4. Step 4: Simplify right side
    226,161.56x = 26,614,753,192.98
  5. Step 5: Solve for x
    x = 26,614,753,192.98/226,161.56
  6. Step 6: Final answer
    x = 117,680.27

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1.5x scale

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.