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Finding the Fourth Proportional to 213,995.46, 320,992.41 and 64,235.10

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Solution

The fourth proportional to 213,995.46, 320,992.41 and 64,235.10 is: 96,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,995.46 : 320,992.41 = 64,235.10 : x
  2. Step 2: Convert to fraction form
    213,995.46/320,992.41 = 64,235.10/x
  3. Step 3: Cross multiply
    213,995.46x = 320,992.41 × 64,235.10
  4. Step 4: Simplify right side
    213,995.46x = 20,618,979,555.59
  5. Step 5: Solve for x
    x = 20,618,979,555.59/213,995.46
  6. Step 6: Final answer
    x = 96,352.42

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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.