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Finding the Fourth Proportional to 223,645.15, 335,352.81 and 65,853.10

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Solution

The fourth proportional to 223,645.15, 335,352.81 and 65,853.10 is: 98,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,645.15 : 335,352.81 = 65,853.10 : x
  2. Step 2: Convert to fraction form
    223,645.15/335,352.81 = 65,853.10/x
  3. Step 3: Cross multiply
    223,645.15x = 335,352.81 × 65,853.10
  4. Step 4: Simplify right side
    223,645.15x = 22,084,022,132.21
  5. Step 5: Solve for x
    x = 22,084,022,132.21/223,645.15
  6. Step 6: Final answer
    x = 98,745.81

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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.