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Finding the Fourth Proportional to 137,514.96, 206,128.44 and 57,598.56

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Solution

The fourth proportional to 137,514.96, 206,128.44 and 57,598.56 is: 86,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,514.96 : 206,128.44 = 57,598.56 : x
  2. Step 2: Convert to fraction form
    137,514.96/206,128.44 = 57,598.56/x
  3. Step 3: Cross multiply
    137,514.96x = 206,128.44 × 57,598.56
  4. Step 4: Simplify right side
    137,514.96x = 11,872,701,319.05
  5. Step 5: Solve for x
    x = 11,872,701,319.05/137,514.96
  6. Step 6: Final answer
    x = 86,337.53

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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.