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Finding the Fourth Proportional to 277,565.88, 416,406.42 and 111,366.84

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Solution

The fourth proportional to 277,565.88, 416,406.42 and 111,366.84 is: 167,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,565.88 : 416,406.42 = 111,366.84 : x
  2. Step 2: Convert to fraction form
    277,565.88/416,406.42 = 111,366.84/x
  3. Step 3: Cross multiply
    277,565.88x = 416,406.42 × 111,366.84
  4. Step 4: Simplify right side
    277,565.88x = 46,373,867,151.11
  5. Step 5: Solve for x
    x = 46,373,867,151.11/277,565.88
  6. Step 6: Final answer
    x = 167,073.37

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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.