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Finding the Fourth Proportional to 135,469.16, 203,334.96 and 65,397.68

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Solution

The fourth proportional to 135,469.16, 203,334.96 and 65,397.68 is: 98,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,469.16 : 203,334.96 = 65,397.68 : x
  2. Step 2: Convert to fraction form
    135,469.16/203,334.96 = 65,397.68/x
  3. Step 3: Cross multiply
    135,469.16x = 203,334.96 × 65,397.68
  4. Step 4: Simplify right side
    135,469.16x = 13,297,634,646.89
  5. Step 5: Solve for x
    x = 13,297,634,646.89/135,469.16
  6. Step 6: Final answer
    x = 98,159.87

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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.