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Finding the Fourth Proportional to 213,891.04, 320,725.81 and 114,024.40

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Solution

The fourth proportional to 213,891.04, 320,725.81 and 114,024.40 is: 170,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,891.04 : 320,725.81 = 114,024.40 : x
  2. Step 2: Convert to fraction form
    213,891.04/320,725.81 = 114,024.40/x
  3. Step 3: Cross multiply
    213,891.04x = 320,725.81 × 114,024.40
  4. Step 4: Simplify right side
    213,891.04x = 36,570,568,049.76
  5. Step 5: Solve for x
    x = 36,570,568,049.76/213,891.04
  6. Step 6: Final answer
    x = 170,977.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.