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Finding the Fourth Proportional to 233,421.84, 350,059.32 and 75,613.68

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Solution

The fourth proportional to 233,421.84, 350,059.32 and 75,613.68 is: 113,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,421.84 : 350,059.32 = 75,613.68 : x
  2. Step 2: Convert to fraction form
    233,421.84/350,059.32 = 75,613.68/x
  3. Step 3: Cross multiply
    233,421.84x = 350,059.32 × 75,613.68
  4. Step 4: Simplify right side
    233,421.84x = 26,469,273,403.50
  5. Step 5: Solve for x
    x = 26,469,273,403.50/233,421.84
  6. Step 6: Final answer
    x = 113,396.73

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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.