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Finding the Fourth Proportional to 233,201.70, 349,716.15 and 75,435.30

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Solution

The fourth proportional to 233,201.70, 349,716.15 and 75,435.30 is: 113,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,201.70 : 349,716.15 = 75,435.30 : x
  2. Step 2: Convert to fraction form
    233,201.70/349,716.15 = 75,435.30/x
  3. Step 3: Cross multiply
    233,201.70x = 349,716.15 × 75,435.30
  4. Step 4: Simplify right side
    233,201.70x = 26,380,942,690.10
  5. Step 5: Solve for x
    x = 26,380,942,690.10/233,201.70
  6. Step 6: Final answer
    x = 113,125.00

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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.