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Finding the Fourth Proportional to 277,777.81, 416,691.33 and 78,099.94

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Solution

The fourth proportional to 277,777.81, 416,691.33 and 78,099.94 is: 117,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,777.81 : 416,691.33 = 78,099.94 : x
  2. Step 2: Convert to fraction form
    277,777.81/416,691.33 = 78,099.94/x
  3. Step 3: Cross multiply
    277,777.81x = 416,691.33 × 78,099.94
  4. Step 4: Simplify right side
    277,777.81x = 32,543,567,871.52
  5. Step 5: Solve for x
    x = 32,543,567,871.52/277,777.81
  6. Step 6: Final answer
    x = 117,156.83

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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.