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Finding the Fourth Proportional to 231,634.84, 347,455.92 and 91,392.24

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Solution

The fourth proportional to 231,634.84, 347,455.92 and 91,392.24 is: 137,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634.84 : 347,455.92 = 91,392.24 : x
  2. Step 2: Convert to fraction form
    231,634.84/347,455.92 = 91,392.24/x
  3. Step 3: Cross multiply
    231,634.84x = 347,455.92 × 91,392.24
  4. Step 4: Simplify right side
    231,634.84x = 31,754,774,830.06
  5. Step 5: Solve for x
    x = 31,754,774,830.06/231,634.84
  6. Step 6: Final answer
    x = 137,089.80

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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.