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Finding the Fourth Proportional to 262,744.32, 394,266.54 and 102,833.31

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Solution

The fourth proportional to 262,744.32, 394,266.54 and 102,833.31 is: 154,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,744.32 : 394,266.54 = 102,833.31 : x
  2. Step 2: Convert to fraction form
    262,744.32/394,266.54 = 102,833.31/x
  3. Step 3: Cross multiply
    262,744.32x = 394,266.54 × 102,833.31
  4. Step 4: Simplify right side
    262,744.32x = 40,543,733,330.45
  5. Step 5: Solve for x
    x = 40,543,733,330.45/262,744.32
  6. Step 6: Final answer
    x = 154,308.70

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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.