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Finding the Fourth Proportional to 194,900.78, 269,221.20 and 156,803.84

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Solution

The fourth proportional to 194,900.78, 269,221.20 and 156,803.84 is: 216,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900.78 : 269,221.20 = 156,803.84 : x
  2. Step 2: Convert to fraction form
    194,900.78/269,221.20 = 156,803.84/x
  3. Step 3: Cross multiply
    194,900.78x = 269,221.20 × 156,803.84
  4. Step 4: Simplify right side
    194,900.78x = 42,214,917,185.39
  5. Step 5: Solve for x
    x = 42,214,917,185.39/194,900.78
  6. Step 6: Final answer
    x = 216,596.97

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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.