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Finding the Fourth Proportional to 135,653.82, 187,198.72 and 75,224.27

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Solution

The fourth proportional to 135,653.82, 187,198.72 and 75,224.27 is: 103,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,653.82 : 187,198.72 = 75,224.27 : x
  2. Step 2: Convert to fraction form
    135,653.82/187,198.72 = 75,224.27/x
  3. Step 3: Cross multiply
    135,653.82x = 187,198.72 × 75,224.27
  4. Step 4: Simplify right side
    135,653.82x = 14,081,887,056.93
  5. Step 5: Solve for x
    x = 14,081,887,056.93/135,653.82
  6. Step 6: Final answer
    x = 103,807.52

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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.