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Finding the Fourth Proportional to 219,033.68, 302,310.24 and 123,542.24

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Solution

The fourth proportional to 219,033.68, 302,310.24 and 123,542.24 is: 170,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,033.68 : 302,310.24 = 123,542.24 : x
  2. Step 2: Convert to fraction form
    219,033.68/302,310.24 = 123,542.24/x
  3. Step 3: Cross multiply
    219,033.68x = 302,310.24 × 123,542.24
  4. Step 4: Simplify right side
    219,033.68x = 37,348,084,224.54
  5. Step 5: Solve for x
    x = 37,348,084,224.54/219,033.68
  6. Step 6: Final answer
    x = 170,512.97

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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.