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Finding the Fourth Proportional to 232,745.82, 321,189.53 and 132,143.82

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Solution

The fourth proportional to 232,745.82, 321,189.53 and 132,143.82 is: 182,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,745.82 : 321,189.53 = 132,143.82 : x
  2. Step 2: Convert to fraction form
    232,745.82/321,189.53 = 132,143.82/x
  3. Step 3: Cross multiply
    232,745.82x = 321,189.53 × 132,143.82
  4. Step 4: Simplify right side
    232,745.82x = 42,443,210,777.49
  5. Step 5: Solve for x
    x = 42,443,210,777.49/232,745.82
  6. Step 6: Final answer
    x = 182,358.64

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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.