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Finding the Fourth Proportional to 226,871.88, 313,088.66 and 136,231.66

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Solution

The fourth proportional to 226,871.88, 313,088.66 and 136,231.66 is: 188,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,871.88 : 313,088.66 = 136,231.66 : x
  2. Step 2: Convert to fraction form
    226,871.88/313,088.66 = 136,231.66/x
  3. Step 3: Cross multiply
    226,871.88x = 313,088.66 × 136,231.66
  4. Step 4: Simplify right side
    226,871.88x = 42,652,587,878.98
  5. Step 5: Solve for x
    x = 42,652,587,878.98/226,871.88
  6. Step 6: Final answer
    x = 188,002.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.