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Finding the Fourth Proportional to 213,072.48, 294,301.68 and 159,596.48

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Solution

The fourth proportional to 213,072.48, 294,301.68 and 159,596.48 is: 220,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,072.48 : 294,301.68 = 159,596.48 : x
  2. Step 2: Convert to fraction form
    213,072.48/294,301.68 = 159,596.48/x
  3. Step 3: Cross multiply
    213,072.48x = 294,301.68 × 159,596.48
  4. Step 4: Simplify right side
    213,072.48x = 46,969,512,186.09
  5. Step 5: Solve for x
    x = 46,969,512,186.09/213,072.48
  6. Step 6: Final answer
    x = 220,439.13

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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.