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Finding the Fourth Proportional to 279,830.91, 419,806.14 and 90,302.04

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Solution

The fourth proportional to 279,830.91, 419,806.14 and 90,302.04 is: 135,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,830.91 : 419,806.14 = 90,302.04 : x
  2. Step 2: Convert to fraction form
    279,830.91/419,806.14 = 90,302.04/x
  3. Step 3: Cross multiply
    279,830.91x = 419,806.14 × 90,302.04
  4. Step 4: Simplify right side
    279,830.91x = 37,909,350,846.53
  5. Step 5: Solve for x
    x = 37,909,350,846.53/279,830.91
  6. Step 6: Final answer
    x = 135,472.35

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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.