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Finding the Fourth Proportional to 277,930.17, 416,919.86 and 78,252.27

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Solution

The fourth proportional to 277,930.17, 416,919.86 and 78,252.27 is: 117,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,930.17 : 416,919.86 = 78,252.27 : x
  2. Step 2: Convert to fraction form
    277,930.17/416,919.86 = 78,252.27/x
  3. Step 3: Cross multiply
    277,930.17x = 416,919.86 × 78,252.27
  4. Step 4: Simplify right side
    277,930.17x = 32,624,925,061.82
  5. Step 5: Solve for x
    x = 32,624,925,061.82/277,930.17
  6. Step 6: Final answer
    x = 117,385.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.