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Finding the Fourth Proportional to 278,088.93, 416,768.22 and 158,200.83

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Solution

The fourth proportional to 278,088.93, 416,768.22 and 158,200.83 is: 237,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,088.93 : 416,768.22 = 158,200.83 : x
  2. Step 2: Convert to fraction form
    278,088.93/416,768.22 = 158,200.83/x
  3. Step 3: Cross multiply
    278,088.93x = 416,768.22 × 158,200.83
  4. Step 4: Simplify right side
    278,088.93x = 65,933,078,321.62
  5. Step 5: Solve for x
    x = 65,933,078,321.62/278,088.93
  6. Step 6: Final answer
    x = 237,093.50

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1.5x scale

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.