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Finding the Fourth Proportional to 196,138.60, 293,808.57 and 179,790.57

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Solution

The fourth proportional to 196,138.60, 293,808.57 and 179,790.57 is: 269,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,138.60 : 293,808.57 = 179,790.57 : x
  2. Step 2: Convert to fraction form
    196,138.60/293,808.57 = 179,790.57/x
  3. Step 3: Cross multiply
    196,138.60x = 293,808.57 × 179,790.57
  4. Step 4: Simplify right side
    196,138.60x = 52,824,009,596.97
  5. Step 5: Solve for x
    x = 52,824,009,596.97/196,138.60
  6. Step 6: Final answer
    x = 269,319.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.