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Finding the Fourth Proportional to 213,058.96, 294,022.20 and 117,568.42

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Solution

The fourth proportional to 213,058.96, 294,022.20 and 117,568.42 is: 162,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.96 : 294,022.20 = 117,568.42 : x
  2. Step 2: Convert to fraction form
    213,058.96/294,022.20 = 117,568.42/x
  3. Step 3: Cross multiply
    213,058.96x = 294,022.20 × 117,568.42
  4. Step 4: Simplify right side
    213,058.96x = 34,567,725,498.92
  5. Step 5: Solve for x
    x = 34,567,725,498.92/213,058.96
  6. Step 6: Final answer
    x = 162,244.88

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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.