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Finding the Fourth Proportional to 233,074.08, 321,642.56 and 132,472

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Solution

The fourth proportional to 233,074.08, 321,642.56 and 132,472 is: 182,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,074.08 : 321,642.56 = 132,472 : x
  2. Step 2: Convert to fraction form
    233,074.08/321,642.56 = 132,472/x
  3. Step 3: Cross multiply
    233,074.08x = 321,642.56 × 132,472
  4. Step 4: Simplify right side
    233,074.08x = 42,608,633,208.32
  5. Step 5: Solve for x
    x = 42,608,633,208.32/233,074.08
  6. Step 6: Final answer
    x = 182,811.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.