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Finding the Fourth Proportional to 196,370.64, 270,974.86 and 110,322.88

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Solution

The fourth proportional to 196,370.64, 270,974.86 and 110,322.88 is: 152,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,370.64 : 270,974.86 = 110,322.88 : x
  2. Step 2: Convert to fraction form
    196,370.64/270,974.86 = 110,322.88/x
  3. Step 3: Cross multiply
    196,370.64x = 270,974.86 × 110,322.88
  4. Step 4: Simplify right side
    196,370.64x = 29,894,726,009.55
  5. Step 5: Solve for x
    x = 29,894,726,009.55/196,370.64
  6. Step 6: Final answer
    x = 152,236.23

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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.