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Finding the Fourth Proportional to 213,553.56, 294,633.48 and 137,115.48

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Solution

The fourth proportional to 213,553.56, 294,633.48 and 137,115.48 is: 189,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,553.56 : 294,633.48 = 137,115.48 : x
  2. Step 2: Convert to fraction form
    213,553.56/294,633.48 = 137,115.48/x
  3. Step 3: Cross multiply
    213,553.56x = 294,633.48 × 137,115.48
  4. Step 4: Simplify right side
    213,553.56x = 40,398,811,034.27
  5. Step 5: Solve for x
    x = 40,398,811,034.27/213,553.56
  6. Step 6: Final answer
    x = 189,174.14

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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.