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Finding the Fourth Proportional to 277,351.38, 416,089.71 and 87,823.26

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Solution

The fourth proportional to 277,351.38, 416,089.71 and 87,823.26 is: 131,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,351.38 : 416,089.71 = 87,823.26 : x
  2. Step 2: Convert to fraction form
    277,351.38/416,089.71 = 87,823.26/x
  3. Step 3: Cross multiply
    277,351.38x = 416,089.71 × 87,823.26
  4. Step 4: Simplify right side
    277,351.38x = 36,542,354,784.65
  5. Step 5: Solve for x
    x = 36,542,354,784.65/277,351.38
  6. Step 6: Final answer
    x = 131,754.72

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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.