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Finding the Fourth Proportional to 82,240.45, 123,409.88 and 75,548.23

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Solution

The fourth proportional to 82,240.45, 123,409.88 and 75,548.23 is: 113,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,240.45 : 123,409.88 = 75,548.23 : x
  2. Step 2: Convert to fraction form
    82,240.45/123,409.88 = 75,548.23/x
  3. Step 3: Cross multiply
    82,240.45x = 123,409.88 × 75,548.23
  4. Step 4: Simplify right side
    82,240.45x = 9,323,397,998.51
  5. Step 5: Solve for x
    x = 9,323,397,998.51/82,240.45
  6. Step 6: Final answer
    x = 113,367.55

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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.