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Finding the Fourth Proportional to 277,377.95, 416,069.66 and 87,834.77

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Solution

The fourth proportional to 277,377.95, 416,069.66 and 87,834.77 is: 131,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,377.95 : 416,069.66 = 87,834.77 : x
  2. Step 2: Convert to fraction form
    277,377.95/416,069.66 = 87,834.77/x
  3. Step 3: Cross multiply
    277,377.95x = 416,069.66 × 87,834.77
  4. Step 4: Simplify right side
    277,377.95x = 36,545,380,370.56
  5. Step 5: Solve for x
    x = 36,545,380,370.56/277,377.95
  6. Step 6: Final answer
    x = 131,753.01

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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.