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Finding the Fourth Proportional to 263,097.77, 363,078.23 and 159,702.08

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Solution

The fourth proportional to 263,097.77, 363,078.23 and 159,702.08 is: 220,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,097.77 : 363,078.23 = 159,702.08 : x
  2. Step 2: Convert to fraction form
    263,097.77/363,078.23 = 159,702.08/x
  3. Step 3: Cross multiply
    263,097.77x = 363,078.23 × 159,702.08
  4. Step 4: Simplify right side
    263,097.77x = 57,984,345,919.82
  5. Step 5: Solve for x
    x = 57,984,345,919.82/263,097.77
  6. Step 6: Final answer
    x = 220,390.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.