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Finding the Fourth Proportional to 231,829.70, 347,744.55 and 74,074.10

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Solution

The fourth proportional to 231,829.70, 347,744.55 and 74,074.10 is: 111,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,829.70 : 347,744.55 = 74,074.10 : x
  2. Step 2: Convert to fraction form
    231,829.70/347,744.55 = 74,074.10/x
  3. Step 3: Cross multiply
    231,829.70x = 347,744.55 × 74,074.10
  4. Step 4: Simplify right side
    231,829.70x = 25,758,864,571.16
  5. Step 5: Solve for x
    x = 25,758,864,571.16/231,829.70
  6. Step 6: Final answer
    x = 111,111.15

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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.