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Finding the Fourth Proportional to 129,854.70, 194,786.91 and 36,358.02

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Solution

The fourth proportional to 129,854.70, 194,786.91 and 36,358.02 is: 54,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,854.70 : 194,786.91 = 36,358.02 : x
  2. Step 2: Convert to fraction form
    129,854.70/194,786.91 = 36,358.02/x
  3. Step 3: Cross multiply
    129,854.70x = 194,786.91 × 36,358.02
  4. Step 4: Simplify right side
    129,854.70x = 7,082,066,369.52
  5. Step 5: Solve for x
    x = 7,082,066,369.52/129,854.70
  6. Step 6: Final answer
    x = 54,538.39

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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.