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Finding the Fourth Proportional to 129,809.70, 194,769.23 and 70,687.80

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Solution

The fourth proportional to 129,809.70, 194,769.23 and 70,687.80 is: 106,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809.70 : 194,769.23 = 70,687.80 : x
  2. Step 2: Convert to fraction form
    129,809.70/194,769.23 = 70,687.80/x
  3. Step 3: Cross multiply
    129,809.70x = 194,769.23 × 70,687.80
  4. Step 4: Simplify right side
    129,809.70x = 13,767,808,022.96
  5. Step 5: Solve for x
    x = 13,767,808,022.96/129,809.70
  6. Step 6: Final answer
    x = 106,061.47

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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.