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Finding the Fourth Proportional to 544,126, 816,236.04 and 150,142

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Solution

The fourth proportional to 544,126, 816,236.04 and 150,142 is: 225,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,126 : 816,236.04 = 150,142 : x
  2. Step 2: Convert to fraction form
    544,126/816,236.04 = 150,142/x
  3. Step 3: Cross multiply
    544,126x = 816,236.04 × 150,142
  4. Step 4: Simplify right side
    544,126x = 122,551,311,517.68
  5. Step 5: Solve for x
    x = 122,551,311,517.68/544,126
  6. Step 6: Final answer
    x = 225,225.98

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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.