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Finding the Fourth Proportional to 231,433.84, 347,348 and 91,290.88

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Solution

The fourth proportional to 231,433.84, 347,348 and 91,290.88 is: 137,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,433.84 : 347,348 = 91,290.88 : x
  2. Step 2: Convert to fraction form
    231,433.84/347,348 = 91,290.88/x
  3. Step 3: Cross multiply
    231,433.84x = 347,348 × 91,290.88
  4. Step 4: Simplify right side
    231,433.84x = 31,709,704,586.24
  5. Step 5: Solve for x
    x = 31,709,704,586.24/231,433.84
  6. Step 6: Final answer
    x = 137,014.12

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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.