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Finding the Fourth Proportional to 129,473.88, 194,210.82 and 74,031

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Solution

The fourth proportional to 129,473.88, 194,210.82 and 74,031 is: 111,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473.88 : 194,210.82 = 74,031 : x
  2. Step 2: Convert to fraction form
    129,473.88/194,210.82 = 74,031/x
  3. Step 3: Cross multiply
    129,473.88x = 194,210.82 × 74,031
  4. Step 4: Simplify right side
    129,473.88x = 14,377,621,215.42
  5. Step 5: Solve for x
    x = 14,377,621,215.42/129,473.88
  6. Step 6: Final answer
    x = 111,046.50

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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.