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Finding the Fourth Proportional to 140,716.20, 211,092.54 and 45,913

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Solution

The fourth proportional to 140,716.20, 211,092.54 and 45,913 is: 68,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,716.20 : 211,092.54 = 45,913 : x
  2. Step 2: Convert to fraction form
    140,716.20/211,092.54 = 45,913/x
  3. Step 3: Cross multiply
    140,716.20x = 211,092.54 × 45,913
  4. Step 4: Simplify right side
    140,716.20x = 9,691,891,789.02
  5. Step 5: Solve for x
    x = 9,691,891,789.02/140,716.20
  6. Step 6: Final answer
    x = 68,875.45

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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.