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Finding the Fourth Proportional to 277,661.07, 416,490.24 and 67,299.01

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Solution

The fourth proportional to 277,661.07, 416,490.24 and 67,299.01 is: 100,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,661.07 : 416,490.24 = 67,299.01 : x
  2. Step 2: Convert to fraction form
    277,661.07/416,490.24 = 67,299.01/x
  3. Step 3: Cross multiply
    277,661.07x = 416,490.24 × 67,299.01
  4. Step 4: Simplify right side
    277,661.07x = 28,029,379,659.25
  5. Step 5: Solve for x
    x = 28,029,379,659.25/277,661.07
  6. Step 6: Final answer
    x = 100,948.18

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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.