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Finding the Fourth Proportional to 129,807.90, 194,869.80 and 82,422.90

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Solution

The fourth proportional to 129,807.90, 194,869.80 and 82,422.90 is: 123,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,807.90 : 194,869.80 = 82,422.90 : x
  2. Step 2: Convert to fraction form
    129,807.90/194,869.80 = 82,422.90/x
  3. Step 3: Cross multiply
    129,807.90x = 194,869.80 × 82,422.90
  4. Step 4: Simplify right side
    129,807.90x = 16,061,734,038.42
  5. Step 5: Solve for x
    x = 16,061,734,038.42/129,807.90
  6. Step 6: Final answer
    x = 123,734.64

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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.