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Finding the Fourth Proportional to 187,739.28, 259,078 and 101,696.64

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Solution

The fourth proportional to 187,739.28, 259,078 and 101,696.64 is: 140,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,739.28 : 259,078 = 101,696.64 : x
  2. Step 2: Convert to fraction form
    187,739.28/259,078 = 101,696.64/x
  3. Step 3: Cross multiply
    187,739.28x = 259,078 × 101,696.64
  4. Step 4: Simplify right side
    187,739.28x = 26,347,362,097.92
  5. Step 5: Solve for x
    x = 26,347,362,097.92/187,739.28
  6. Step 6: Final answer
    x = 140,340.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.