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Finding the Fourth Proportional to 129,809.57, 194,516.72 and 96,372.77

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Solution

The fourth proportional to 129,809.57, 194,516.72 and 96,372.77 is: 144,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809.57 : 194,516.72 = 96,372.77 : x
  2. Step 2: Convert to fraction form
    129,809.57/194,516.72 = 96,372.77/x
  3. Step 3: Cross multiply
    129,809.57x = 194,516.72 × 96,372.77
  4. Step 4: Simplify right side
    129,809.57x = 18,746,114,635.85
  5. Step 5: Solve for x
    x = 18,746,114,635.85/129,809.57
  6. Step 6: Final answer
    x = 144,412.42

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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.