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Finding the Fourth Proportional to 226,854, 313,058.52 and 126,275.76

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Solution

The fourth proportional to 226,854, 313,058.52 and 126,275.76 is: 174,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,854 : 313,058.52 = 126,275.76 : x
  2. Step 2: Convert to fraction form
    226,854/313,058.52 = 126,275.76/x
  3. Step 3: Cross multiply
    226,854x = 313,058.52 × 126,275.76
  4. Step 4: Simplify right side
    226,854x = 39,531,702,537.48
  5. Step 5: Solve for x
    x = 39,531,702,537.48/226,854
  6. Step 6: Final answer
    x = 174,260.55

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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.