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Finding the Fourth Proportional to 262,912.40, 394,253.40 and 105,088.40

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Solution

The fourth proportional to 262,912.40, 394,253.40 and 105,088.40 is: 157,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,912.40 : 394,253.40 = 105,088.40 : x
  2. Step 2: Convert to fraction form
    262,912.40/394,253.40 = 105,088.40/x
  3. Step 3: Cross multiply
    262,912.40x = 394,253.40 × 105,088.40
  4. Step 4: Simplify right side
    262,912.40x = 41,431,459,000.56
  5. Step 5: Solve for x
    x = 41,431,459,000.56/262,912.40
  6. Step 6: Final answer
    x = 157,586.55

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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.