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Finding the Fourth Proportional to 278,056.90, 417,085.35 and 188,827.30

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Solution

The fourth proportional to 278,056.90, 417,085.35 and 188,827.30 is: 283,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,056.90 : 417,085.35 = 188,827.30 : x
  2. Step 2: Convert to fraction form
    278,056.90/417,085.35 = 188,827.30/x
  3. Step 3: Cross multiply
    278,056.90x = 417,085.35 × 188,827.30
  4. Step 4: Simplify right side
    278,056.90x = 78,757,100,510.06
  5. Step 5: Solve for x
    x = 78,757,100,510.06/278,056.90
  6. Step 6: Final answer
    x = 283,240.95

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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.