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Finding the Fourth Proportional to 106,514.34, 159,854.01 and 40,014.90

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Solution

The fourth proportional to 106,514.34, 159,854.01 and 40,014.90 is: 60,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,514.34 : 159,854.01 = 40,014.90 : x
  2. Step 2: Convert to fraction form
    106,514.34/159,854.01 = 40,014.90/x
  3. Step 3: Cross multiply
    106,514.34x = 159,854.01 × 40,014.90
  4. Step 4: Simplify right side
    106,514.34x = 6,396,542,224.75
  5. Step 5: Solve for x
    x = 6,396,542,224.75/106,514.34
  6. Step 6: Final answer
    x = 60,053.34

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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.