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Finding the Fourth Proportional to 196,374.96, 270,950.40 and 115,796.16

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Solution

The fourth proportional to 196,374.96, 270,950.40 and 115,796.16 is: 159,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.96 : 270,950.40 = 115,796.16 : x
  2. Step 2: Convert to fraction form
    196,374.96/270,950.40 = 115,796.16/x
  3. Step 3: Cross multiply
    196,374.96x = 270,950.40 × 115,796.16
  4. Step 4: Simplify right side
    196,374.96x = 31,375,015,870.46
  5. Step 5: Solve for x
    x = 31,375,015,870.46/196,374.96
  6. Step 6: Final answer
    x = 159,770.96

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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.