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Finding the Fourth Proportional to 213,304.32, 320,049.90 and 101,064.65

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Solution

The fourth proportional to 213,304.32, 320,049.90 and 101,064.65 is: 151,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,304.32 : 320,049.90 = 101,064.65 : x
  2. Step 2: Convert to fraction form
    213,304.32/320,049.90 = 101,064.65/x
  3. Step 3: Cross multiply
    213,304.32x = 320,049.90 × 101,064.65
  4. Step 4: Simplify right side
    213,304.32x = 32,345,729,525.79
  5. Step 5: Solve for x
    x = 32,345,729,525.79/213,304.32
  6. Step 6: Final answer
    x = 151,641.23

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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.