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Finding the Fourth Proportional to 144,872.19, 217,255.05 and 50,078.07

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Solution

The fourth proportional to 144,872.19, 217,255.05 and 50,078.07 is: 75,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872.19 : 217,255.05 = 50,078.07 : x
  2. Step 2: Convert to fraction form
    144,872.19/217,255.05 = 50,078.07/x
  3. Step 3: Cross multiply
    144,872.19x = 217,255.05 × 50,078.07
  4. Step 4: Simplify right side
    144,872.19x = 10,879,713,601.75
  5. Step 5: Solve for x
    x = 10,879,713,601.75/144,872.19
  6. Step 6: Final answer
    x = 75,098.70

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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.