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Finding the Fourth Proportional to 233,148.94, 321,745.55 and 132,546.94

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Solution

The fourth proportional to 233,148.94, 321,745.55 and 132,546.94 is: 182,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,148.94 : 321,745.55 = 132,546.94 : x
  2. Step 2: Convert to fraction form
    233,148.94/321,745.55 = 132,546.94/x
  3. Step 3: Cross multiply
    233,148.94x = 321,745.55 × 132,546.94
  4. Step 4: Simplify right side
    233,148.94x = 42,646,386,644.02
  5. Step 5: Solve for x
    x = 42,646,386,644.02/233,148.94
  6. Step 6: Final answer
    x = 182,914.78

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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.