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Finding the Fourth Proportional to 213,832.72, 320,537.40 and 101,314

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Solution

The fourth proportional to 213,832.72, 320,537.40 and 101,314 is: 151,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832.72 : 320,537.40 = 101,314 : x
  2. Step 2: Convert to fraction form
    213,832.72/320,537.40 = 101,314/x
  3. Step 3: Cross multiply
    213,832.72x = 320,537.40 × 101,314
  4. Step 4: Simplify right side
    213,832.72x = 32,474,926,143.60
  5. Step 5: Solve for x
    x = 32,474,926,143.60/213,832.72
  6. Step 6: Final answer
    x = 151,870.71

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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.