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Finding the Fourth Proportional to 213,951.42, 295,251.92 and 115,834.71

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Solution

The fourth proportional to 213,951.42, 295,251.92 and 115,834.71 is: 159,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,951.42 : 295,251.92 = 115,834.71 : x
  2. Step 2: Convert to fraction form
    213,951.42/295,251.92 = 115,834.71/x
  3. Step 3: Cross multiply
    213,951.42x = 295,251.92 × 115,834.71
  4. Step 4: Simplify right side
    213,951.42x = 34,200,420,530.14
  5. Step 5: Solve for x
    x = 34,200,420,530.14/213,951.42
  6. Step 6: Final answer
    x = 159,851.34

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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.