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Finding the Fourth Proportional to 129,934.69, 194,902.04 and 31,438.69

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Solution

The fourth proportional to 129,934.69, 194,902.04 and 31,438.69 is: 47,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,934.69 : 194,902.04 = 31,438.69 : x
  2. Step 2: Convert to fraction form
    129,934.69/194,902.04 = 31,438.69/x
  3. Step 3: Cross multiply
    129,934.69x = 194,902.04 × 31,438.69
  4. Step 4: Simplify right side
    129,934.69x = 6,127,464,289.37
  5. Step 5: Solve for x
    x = 6,127,464,289.37/129,934.69
  6. Step 6: Final answer
    x = 47,158.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.