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Finding the Fourth Proportional to 136,203.93, 204,048.32 and 77,082.03

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Solution

The fourth proportional to 136,203.93, 204,048.32 and 77,082.03 is: 115,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,203.93 : 204,048.32 = 77,082.03 : x
  2. Step 2: Convert to fraction form
    136,203.93/204,048.32 = 77,082.03/x
  3. Step 3: Cross multiply
    136,203.93x = 204,048.32 × 77,082.03
  4. Step 4: Simplify right side
    136,203.93x = 15,728,458,338.28
  5. Step 5: Solve for x
    x = 15,728,458,338.28/136,203.93
  6. Step 6: Final answer
    x = 115,477.27

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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.