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Finding the Fourth Proportional to 275,570.67, 413,358.23 and 75,902.07

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Solution

The fourth proportional to 275,570.67, 413,358.23 and 75,902.07 is: 113,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,570.67 : 413,358.23 = 75,902.07 : x
  2. Step 2: Convert to fraction form
    275,570.67/413,358.23 = 75,902.07/x
  3. Step 3: Cross multiply
    275,570.67x = 413,358.23 × 75,902.07
  4. Step 4: Simplify right side
    275,570.67x = 31,374,744,929.03
  5. Step 5: Solve for x
    x = 31,374,744,929.03/275,570.67
  6. Step 6: Final answer
    x = 113,853.72

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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.