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Finding the Fourth Proportional to 277,538.86, 416,309.37 and 67,176.46

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Solution

The fourth proportional to 277,538.86, 416,309.37 and 67,176.46 is: 100,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,538.86 : 416,309.37 = 67,176.46 : x
  2. Step 2: Convert to fraction form
    277,538.86/416,309.37 = 67,176.46/x
  3. Step 3: Cross multiply
    277,538.86x = 416,309.37 × 67,176.46
  4. Step 4: Simplify right side
    277,538.86x = 27,966,189,741.43
  5. Step 5: Solve for x
    x = 27,966,189,741.43/277,538.86
  6. Step 6: Final answer
    x = 100,764.95

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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.