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Finding the Fourth Proportional to 278,108.84, 416,733.91 and 187,797.62

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Solution

The fourth proportional to 278,108.84, 416,733.91 and 187,797.62 is: 281,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,108.84 : 416,733.91 = 187,797.62 : x
  2. Step 2: Convert to fraction form
    278,108.84/416,733.91 = 187,797.62/x
  3. Step 3: Cross multiply
    278,108.84x = 416,733.91 × 187,797.62
  4. Step 4: Simplify right side
    278,108.84x = 78,261,637,043.63
  5. Step 5: Solve for x
    x = 78,261,637,043.63/278,108.84
  6. Step 6: Final answer
    x = 281,406.50

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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.