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Finding the Fourth Proportional to 196,374.25, 270,973.65 and 110,321.29

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Solution

The fourth proportional to 196,374.25, 270,973.65 and 110,321.29 is: 152,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.25 : 270,973.65 = 110,321.29 : x
  2. Step 2: Convert to fraction form
    196,374.25/270,973.65 = 110,321.29/x
  3. Step 3: Cross multiply
    196,374.25x = 270,973.65 × 110,321.29
  4. Step 4: Simplify right side
    196,374.25x = 29,894,162,624.01
  5. Step 5: Solve for x
    x = 29,894,162,624.01/196,374.25
  6. Step 6: Final answer
    x = 152,230.56

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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.