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Finding the Fourth Proportional to 304,126, 419,676.94 and 168,151.78

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Solution

The fourth proportional to 304,126, 419,676.94 and 168,151.78 is: 232,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,126 : 419,676.94 = 168,151.78 : x
  2. Step 2: Convert to fraction form
    304,126/419,676.94 = 168,151.78/x
  3. Step 3: Cross multiply
    304,126x = 419,676.94 × 168,151.78
  4. Step 4: Simplify right side
    304,126x = 70,569,424,485.95
  5. Step 5: Solve for x
    x = 70,569,424,485.95/304,126
  6. Step 6: Final answer
    x = 232,040.09

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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.