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Finding the Fourth Proportional to 209,589.48, 314,402.94 and 59,826.96

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Solution

The fourth proportional to 209,589.48, 314,402.94 and 59,826.96 is: 89,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,589.48 : 314,402.94 = 59,826.96 : x
  2. Step 2: Convert to fraction form
    209,589.48/314,402.94 = 59,826.96/x
  3. Step 3: Cross multiply
    209,589.48x = 314,402.94 × 59,826.96
  4. Step 4: Simplify right side
    209,589.48x = 18,809,772,115.26
  5. Step 5: Solve for x
    x = 18,809,772,115.26/209,589.48
  6. Step 6: Final answer
    x = 89,745.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.