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Finding the Fourth Proportional to 231,720.14, 347,635.70 and 96,709.14

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Solution

The fourth proportional to 231,720.14, 347,635.70 and 96,709.14 is: 145,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,720.14 : 347,635.70 = 96,709.14 : x
  2. Step 2: Convert to fraction form
    231,720.14/347,635.70 = 96,709.14/x
  3. Step 3: Cross multiply
    231,720.14x = 347,635.70 × 96,709.14
  4. Step 4: Simplify right side
    231,720.14x = 33,619,549,459.41
  5. Step 5: Solve for x
    x = 33,619,549,459.41/231,720.14
  6. Step 6: Final answer
    x = 145,086.87

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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.