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Finding the Fourth Proportional to 205,414.80, 308,122.20 and 191,590.80

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Solution

The fourth proportional to 205,414.80, 308,122.20 and 191,590.80 is: 287,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.80 : 308,122.20 = 191,590.80 : x
  2. Step 2: Convert to fraction form
    205,414.80/308,122.20 = 191,590.80/x
  3. Step 3: Cross multiply
    205,414.80x = 308,122.20 × 191,590.80
  4. Step 4: Simplify right side
    205,414.80x = 59,033,378,795.76
  5. Step 5: Solve for x
    x = 59,033,378,795.76/205,414.80
  6. Step 6: Final answer
    x = 287,386.20

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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.