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Finding the Fourth Proportional to 277,472.66, 416,209.19 and 67,110.80

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Solution

The fourth proportional to 277,472.66, 416,209.19 and 67,110.80 is: 100,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,472.66 : 416,209.19 = 67,110.80 : x
  2. Step 2: Convert to fraction form
    277,472.66/416,209.19 = 67,110.80/x
  3. Step 3: Cross multiply
    277,472.66x = 416,209.19 × 67,110.80
  4. Step 4: Simplify right side
    277,472.66x = 27,932,129,291.65
  5. Step 5: Solve for x
    x = 27,932,129,291.65/277,472.66
  6. Step 6: Final answer
    x = 100,666.24

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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.