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Finding the Fourth Proportional to 129,586.80, 194,313 and 59,405.68

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Solution

The fourth proportional to 129,586.80, 194,313 and 59,405.68 is: 89,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,586.80 : 194,313 = 59,405.68 : x
  2. Step 2: Convert to fraction form
    129,586.80/194,313 = 59,405.68/x
  3. Step 3: Cross multiply
    129,586.80x = 194,313 × 59,405.68
  4. Step 4: Simplify right side
    129,586.80x = 11,543,295,897.84
  5. Step 5: Solve for x
    x = 11,543,295,897.84/129,586.80
  6. Step 6: Final answer
    x = 89,077.71

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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.