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Finding the Fourth Proportional to 105,514.90, 145,610.17 and 60,192.80

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Solution

The fourth proportional to 105,514.90, 145,610.17 and 60,192.80 is: 83,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,514.90 : 145,610.17 = 60,192.80 : x
  2. Step 2: Convert to fraction form
    105,514.90/145,610.17 = 60,192.80/x
  3. Step 3: Cross multiply
    105,514.90x = 145,610.17 × 60,192.80
  4. Step 4: Simplify right side
    105,514.90x = 8,764,682,811.76
  5. Step 5: Solve for x
    x = 8,764,682,811.76/105,514.90
  6. Step 6: Final answer
    x = 83,065.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.