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Finding the Fourth Proportional to 223,863.78, 308,924.82 and 133,198.92

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Solution

The fourth proportional to 223,863.78, 308,924.82 and 133,198.92 is: 183,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,863.78 : 308,924.82 = 133,198.92 : x
  2. Step 2: Convert to fraction form
    223,863.78/308,924.82 = 133,198.92/x
  3. Step 3: Cross multiply
    223,863.78x = 308,924.82 × 133,198.92
  4. Step 4: Simplify right side
    223,863.78x = 41,148,452,385.19
  5. Step 5: Solve for x
    x = 41,148,452,385.19/223,863.78
  6. Step 6: Final answer
    x = 183,810.23

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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.