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Finding the Fourth Proportional to 135,957, 187,643.13 and 113,260.04

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Solution

The fourth proportional to 135,957, 187,643.13 and 113,260.04 is: 156,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957 : 187,643.13 = 113,260.04 : x
  2. Step 2: Convert to fraction form
    135,957/187,643.13 = 113,260.04/x
  3. Step 3: Cross multiply
    135,957x = 187,643.13 × 113,260.04
  4. Step 4: Simplify right side
    135,957x = 21,252,467,471.31
  5. Step 5: Solve for x
    x = 21,252,467,471.31/135,957
  6. Step 6: Final answer
    x = 156,317.57

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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.