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Finding the Fourth Proportional to 233,408.16, 349,551 and 133,264.80

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Solution

The fourth proportional to 233,408.16, 349,551 and 133,264.80 is: 199,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,408.16 : 349,551 = 133,264.80 : x
  2. Step 2: Convert to fraction form
    233,408.16/349,551 = 133,264.80/x
  3. Step 3: Cross multiply
    233,408.16x = 349,551 × 133,264.80
  4. Step 4: Simplify right side
    233,408.16x = 46,582,844,104.80
  5. Step 5: Solve for x
    x = 46,582,844,104.80/233,408.16
  6. Step 6: Final answer
    x = 199,576.76

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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.