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Finding the Fourth Proportional to 279,408.11, 419,174.67 and 101,915.13

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Solution

The fourth proportional to 279,408.11, 419,174.67 and 101,915.13 is: 152,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,408.11 : 419,174.67 = 101,915.13 : x
  2. Step 2: Convert to fraction form
    279,408.11/419,174.67 = 101,915.13/x
  3. Step 3: Cross multiply
    279,408.11x = 419,174.67 × 101,915.13
  4. Step 4: Simplify right side
    279,408.11x = 42,720,240,985.76
  5. Step 5: Solve for x
    x = 42,720,240,985.76/279,408.11
  6. Step 6: Final answer
    x = 152,895.50

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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.