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Finding the Fourth Proportional to 233,523, 350,306.37 and 75,709.08

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Solution

The fourth proportional to 233,523, 350,306.37 and 75,709.08 is: 113,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,523 : 350,306.37 = 75,709.08 : x
  2. Step 2: Convert to fraction form
    233,523/350,306.37 = 75,709.08/x
  3. Step 3: Cross multiply
    233,523x = 350,306.37 × 75,709.08
  4. Step 4: Simplify right side
    233,523x = 26,521,372,990.84
  5. Step 5: Solve for x
    x = 26,521,372,990.84/233,523
  6. Step 6: Final answer
    x = 113,570.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.