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Finding the Fourth Proportional to 231,900.60, 347,648.40 and 89,842.80

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Solution

The fourth proportional to 231,900.60, 347,648.40 and 89,842.80 is: 134,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,900.60 : 347,648.40 = 89,842.80 : x
  2. Step 2: Convert to fraction form
    231,900.60/347,648.40 = 89,842.80/x
  3. Step 3: Cross multiply
    231,900.60x = 347,648.40 × 89,842.80
  4. Step 4: Simplify right side
    231,900.60x = 31,233,705,671.52
  5. Step 5: Solve for x
    x = 31,233,705,671.52/231,900.60
  6. Step 6: Final answer
    x = 134,685.75

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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.