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Finding the Fourth Proportional to 135,568.66, 203,314.10 and 52,443.22

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Solution

The fourth proportional to 135,568.66, 203,314.10 and 52,443.22 is: 78,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,568.66 : 203,314.10 = 52,443.22 : x
  2. Step 2: Convert to fraction form
    135,568.66/203,314.10 = 52,443.22/x
  3. Step 3: Cross multiply
    135,568.66x = 203,314.10 × 52,443.22
  4. Step 4: Simplify right side
    135,568.66x = 10,662,446,075.40
  5. Step 5: Solve for x
    x = 10,662,446,075.40/135,568.66
  6. Step 6: Final answer
    x = 78,649.79

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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.