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Finding the Fourth Proportional to 135,703.36, 203,680.32 and 97,792

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Solution

The fourth proportional to 135,703.36, 203,680.32 and 97,792 is: 146,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,703.36 : 203,680.32 = 97,792 : x
  2. Step 2: Convert to fraction form
    135,703.36/203,680.32 = 97,792/x
  3. Step 3: Cross multiply
    135,703.36x = 203,680.32 × 97,792
  4. Step 4: Simplify right side
    135,703.36x = 19,918,305,853.44
  5. Step 5: Solve for x
    x = 19,918,305,853.44/135,703.36
  6. Step 6: Final answer
    x = 146,778.28

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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.