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Finding the Fourth Proportional to 129,952.73, 194,953.40 and 41,182.40

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Solution

The fourth proportional to 129,952.73, 194,953.40 and 41,182.40 is: 61,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,952.73 : 194,953.40 = 41,182.40 : x
  2. Step 2: Convert to fraction form
    129,952.73/194,953.40 = 41,182.40/x
  3. Step 3: Cross multiply
    129,952.73x = 194,953.40 × 41,182.40
  4. Step 4: Simplify right side
    129,952.73x = 8,028,648,900.16
  5. Step 5: Solve for x
    x = 8,028,648,900.16/129,952.73
  6. Step 6: Final answer
    x = 61,781.30

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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.