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Finding the Fourth Proportional to 277,794.11, 416,691.32 and 78,114.50

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Solution

The fourth proportional to 277,794.11, 416,691.32 and 78,114.50 is: 117,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,794.11 : 416,691.32 = 78,114.50 : x
  2. Step 2: Convert to fraction form
    277,794.11/416,691.32 = 78,114.50/x
  3. Step 3: Cross multiply
    277,794.11x = 416,691.32 × 78,114.50
  4. Step 4: Simplify right side
    277,794.11x = 32,549,631,642.11
  5. Step 5: Solve for x
    x = 32,549,631,642.11/277,794.11
  6. Step 6: Final answer
    x = 117,171.79

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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.