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Finding the Fourth Proportional to 196,447.52, 271,085.16 and 115,878.32

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Solution

The fourth proportional to 196,447.52, 271,085.16 and 115,878.32 is: 159,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,447.52 : 271,085.16 = 115,878.32 : x
  2. Step 2: Convert to fraction form
    196,447.52/271,085.16 = 115,878.32/x
  3. Step 3: Cross multiply
    196,447.52x = 271,085.16 × 115,878.32
  4. Step 4: Simplify right side
    196,447.52x = 31,412,892,917.73
  5. Step 5: Solve for x
    x = 31,412,892,917.73/196,447.52
  6. Step 6: Final answer
    x = 159,904.76

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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.