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Finding the Fourth Proportional to 210,822.80, 316,234.20 and 105,846.80

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Solution

The fourth proportional to 210,822.80, 316,234.20 and 105,846.80 is: 158,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,822.80 : 316,234.20 = 105,846.80 : x
  2. Step 2: Convert to fraction form
    210,822.80/316,234.20 = 105,846.80/x
  3. Step 3: Cross multiply
    210,822.80x = 316,234.20 × 105,846.80
  4. Step 4: Simplify right side
    210,822.80x = 33,472,378,120.56
  5. Step 5: Solve for x
    x = 33,472,378,120.56/210,822.80
  6. Step 6: Final answer
    x = 158,770.20

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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.