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Finding the Fourth Proportional to 213,924.10, 320,782.22 and 107,262.22

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Solution

The fourth proportional to 213,924.10, 320,782.22 and 107,262.22 is: 160,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924.10 : 320,782.22 = 107,262.22 : x
  2. Step 2: Convert to fraction form
    213,924.10/320,782.22 = 107,262.22/x
  3. Step 3: Cross multiply
    213,924.10x = 320,782.22 × 107,262.22
  4. Step 4: Simplify right side
    213,924.10x = 34,407,813,053.73
  5. Step 5: Solve for x
    x = 34,407,813,053.73/213,924.10
  6. Step 6: Final answer
    x = 160,841.22

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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.