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Finding the Fourth Proportional to 129,499.60, 194,035.54 and 59,224

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Solution

The fourth proportional to 129,499.60, 194,035.54 and 59,224 is: 88,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,499.60 : 194,035.54 = 59,224 : x
  2. Step 2: Convert to fraction form
    129,499.60/194,035.54 = 59,224/x
  3. Step 3: Cross multiply
    129,499.60x = 194,035.54 × 59,224
  4. Step 4: Simplify right side
    129,499.60x = 11,491,560,820.96
  5. Step 5: Solve for x
    x = 11,491,560,820.96/129,499.60
  6. Step 6: Final answer
    x = 88,738.20

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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.