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Finding the Fourth Proportional to 196,017.38, 270,462.26 and 115,415.49

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Solution

The fourth proportional to 196,017.38, 270,462.26 and 115,415.49 is: 159,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,017.38 : 270,462.26 = 115,415.49 : x
  2. Step 2: Convert to fraction form
    196,017.38/270,462.26 = 115,415.49/x
  3. Step 3: Cross multiply
    196,017.38x = 270,462.26 × 115,415.49
  4. Step 4: Simplify right side
    196,017.38x = 31,215,534,552.95
  5. Step 5: Solve for x
    x = 31,215,534,552.95/196,017.38
  6. Step 6: Final answer
    x = 159,248.81

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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.