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Finding the Fourth Proportional to 137,687.84, 206,492.04 and 37,851.30

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Solution

The fourth proportional to 137,687.84, 206,492.04 and 37,851.30 is: 56,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,687.84 : 206,492.04 = 37,851.30 : x
  2. Step 2: Convert to fraction form
    137,687.84/206,492.04 = 37,851.30/x
  3. Step 3: Cross multiply
    137,687.84x = 206,492.04 × 37,851.30
  4. Step 4: Simplify right side
    137,687.84x = 7,815,992,153.65
  5. Step 5: Solve for x
    x = 7,815,992,153.65/137,687.84
  6. Step 6: Final answer
    x = 56,766.03

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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.