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Finding the Fourth Proportional to 105,221.27, 145,189.42 and 59,274.36

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Solution

The fourth proportional to 105,221.27, 145,189.42 and 59,274.36 is: 81,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221.27 : 145,189.42 = 59,274.36 : x
  2. Step 2: Convert to fraction form
    105,221.27/145,189.42 = 59,274.36/x
  3. Step 3: Cross multiply
    105,221.27x = 145,189.42 × 59,274.36
  4. Step 4: Simplify right side
    105,221.27x = 8,606,010,446.97
  5. Step 5: Solve for x
    x = 8,606,010,446.97/105,221.27
  6. Step 6: Final answer
    x = 81,789.65

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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.