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Finding the Fourth Proportional to 137,514.84, 206,272.45 and 37,675.90

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Solution

The fourth proportional to 137,514.84, 206,272.45 and 37,675.90 is: 56,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,514.84 : 206,272.45 = 37,675.90 : x
  2. Step 2: Convert to fraction form
    137,514.84/206,272.45 = 37,675.90/x
  3. Step 3: Cross multiply
    137,514.84x = 206,272.45 × 37,675.90
  4. Step 4: Simplify right side
    137,514.84x = 7,771,500,198.96
  5. Step 5: Solve for x
    x = 7,771,500,198.96/137,514.84
  6. Step 6: Final answer
    x = 56,513.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.