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Finding the Fourth Proportional to 213,924.72, 295,226.98 and 123,295.44

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Solution

The fourth proportional to 213,924.72, 295,226.98 and 123,295.44 is: 170,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924.72 : 295,226.98 = 123,295.44 : x
  2. Step 2: Convert to fraction form
    213,924.72/295,226.98 = 123,295.44/x
  3. Step 3: Cross multiply
    213,924.72x = 295,226.98 × 123,295.44
  4. Step 4: Simplify right side
    213,924.72x = 36,400,140,398.97
  5. Step 5: Solve for x
    x = 36,400,140,398.97/213,924.72
  6. Step 6: Final answer
    x = 170,153.97

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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.