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Finding the Fourth Proportional to 233,512.30, 349,750.05 and 202,408.30

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Solution

The fourth proportional to 233,512.30, 349,750.05 and 202,408.30 is: 303,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,512.30 : 349,750.05 = 202,408.30 : x
  2. Step 2: Convert to fraction form
    233,512.30/349,750.05 = 202,408.30/x
  3. Step 3: Cross multiply
    233,512.30x = 349,750.05 × 202,408.30
  4. Step 4: Simplify right side
    233,512.30x = 70,792,313,045.42
  5. Step 5: Solve for x
    x = 70,792,313,045.42/233,512.30
  6. Step 6: Final answer
    x = 303,163.10

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