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Finding the Fourth Proportional to 196,291.80, 270,862.34 and 110,260.44

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Solution

The fourth proportional to 196,291.80, 270,862.34 and 110,260.44 is: 152,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,291.80 : 270,862.34 = 110,260.44 : x
  2. Step 2: Convert to fraction form
    196,291.80/270,862.34 = 110,260.44/x
  3. Step 3: Cross multiply
    196,291.80x = 270,862.34 × 110,260.44
  4. Step 4: Simplify right side
    196,291.80x = 29,865,400,787.83
  5. Step 5: Solve for x
    x = 29,865,400,787.83/196,291.80
  6. Step 6: Final answer
    x = 152,147.98

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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.