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Finding the Fourth Proportional to 196,488.14, 271,182.34 and 110,454.20

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Solution

The fourth proportional to 196,488.14, 271,182.34 and 110,454.20 is: 152,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,488.14 : 271,182.34 = 110,454.20 : x
  2. Step 2: Convert to fraction form
    196,488.14/271,182.34 = 110,454.20/x
  3. Step 3: Cross multiply
    196,488.14x = 271,182.34 × 110,454.20
  4. Step 4: Simplify right side
    196,488.14x = 29,953,230,053.97
  5. Step 5: Solve for x
    x = 29,953,230,053.97/196,488.14
  6. Step 6: Final answer
    x = 152,442.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.