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Finding the Fourth Proportional to 129,830.40, 194,723.52 and 36,314.40

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Solution

The fourth proportional to 129,830.40, 194,723.52 and 36,314.40 is: 54,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,830.40 : 194,723.52 = 36,314.40 : x
  2. Step 2: Convert to fraction form
    129,830.40/194,723.52 = 36,314.40/x
  3. Step 3: Cross multiply
    129,830.40x = 194,723.52 × 36,314.40
  4. Step 4: Simplify right side
    129,830.40x = 7,071,267,794.69
  5. Step 5: Solve for x
    x = 7,071,267,794.69/129,830.40
  6. Step 6: Final answer
    x = 54,465.42

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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.