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Finding the Fourth Proportional to 196,146.60, 269,832.84 and 171,838.08

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Solution

The fourth proportional to 196,146.60, 269,832.84 and 171,838.08 is: 236,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,146.60 : 269,832.84 = 171,838.08 : x
  2. Step 2: Convert to fraction form
    196,146.60/269,832.84 = 171,838.08/x
  3. Step 3: Cross multiply
    196,146.60x = 269,832.84 × 171,838.08
  4. Step 4: Simplify right side
    196,146.60x = 46,367,557,146.55
  5. Step 5: Solve for x
    x = 46,367,557,146.55/196,146.60
  6. Step 6: Final answer
    x = 236,392.36

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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.