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Finding the Fourth Proportional to 233,123.26, 321,708.63 and 132,521.26

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Solution

The fourth proportional to 233,123.26, 321,708.63 and 132,521.26 is: 182,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,123.26 : 321,708.63 = 132,521.26 : x
  2. Step 2: Convert to fraction form
    233,123.26/321,708.63 = 132,521.26/x
  3. Step 3: Cross multiply
    233,123.26x = 321,708.63 × 132,521.26
  4. Step 4: Simplify right side
    233,123.26x = 42,633,233,000.47
  5. Step 5: Solve for x
    x = 42,633,233,000.47/233,123.26
  6. Step 6: Final answer
    x = 182,878.50

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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.