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Finding the Fourth Proportional to 233,151.45, 321,749.01 and 132,549.45

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Solution

The fourth proportional to 233,151.45, 321,749.01 and 132,549.45 is: 182,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151.45 : 321,749.01 = 132,549.45 : x
  2. Step 2: Convert to fraction form
    233,151.45/321,749.01 = 132,549.45/x
  3. Step 3: Cross multiply
    233,151.45x = 321,749.01 × 132,549.45
  4. Step 4: Simplify right side
    233,151.45x = 42,647,652,042.05
  5. Step 5: Solve for x
    x = 42,647,652,042.05/233,151.45
  6. Step 6: Final answer
    x = 182,918.24

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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.