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Finding the Fourth Proportional to 137,694.30, 206,562.30 and 48,926.70

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Solution

The fourth proportional to 137,694.30, 206,562.30 and 48,926.70 is: 73,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,694.30 : 206,562.30 = 48,926.70 : x
  2. Step 2: Convert to fraction form
    137,694.30/206,562.30 = 48,926.70/x
  3. Step 3: Cross multiply
    137,694.30x = 206,562.30 × 48,926.70
  4. Step 4: Simplify right side
    137,694.30x = 10,106,411,438.78
  5. Step 5: Solve for x
    x = 10,106,411,438.78/137,694.30
  6. Step 6: Final answer
    x = 73,397.46

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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.