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Finding the Fourth Proportional to 233,212.98, 349,830.41 and 75,453.78

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Solution

The fourth proportional to 233,212.98, 349,830.41 and 75,453.78 is: 113,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,212.98 : 349,830.41 = 75,453.78 : x
  2. Step 2: Convert to fraction form
    233,212.98/349,830.41 = 75,453.78/x
  3. Step 3: Cross multiply
    233,212.98x = 349,830.41 × 75,453.78
  4. Step 4: Simplify right side
    233,212.98x = 26,396,026,416.18
  5. Step 5: Solve for x
    x = 26,396,026,416.18/233,212.98
  6. Step 6: Final answer
    x = 113,184.21

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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.