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Finding the Fourth Proportional to 231,378.83, 347,096.33 and 65,166.83

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Solution

The fourth proportional to 231,378.83, 347,096.33 and 65,166.83 is: 97,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,378.83 : 347,096.33 = 65,166.83 : x
  2. Step 2: Convert to fraction form
    231,378.83/347,096.33 = 65,166.83/x
  3. Step 3: Cross multiply
    231,378.83x = 347,096.33 × 65,166.83
  4. Step 4: Simplify right side
    231,378.83x = 22,619,167,204.90
  5. Step 5: Solve for x
    x = 22,619,167,204.90/231,378.83
  6. Step 6: Final answer
    x = 97,758.15

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1.5x scale

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.