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Finding the Fourth Proportional to 145,846.44, 201,268.09 and 82,186.52

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Solution

The fourth proportional to 145,846.44, 201,268.09 and 82,186.52 is: 113,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846.44 : 201,268.09 = 82,186.52 : x
  2. Step 2: Convert to fraction form
    145,846.44/201,268.09 = 82,186.52/x
  3. Step 3: Cross multiply
    145,846.44x = 201,268.09 × 82,186.52
  4. Step 4: Simplify right side
    145,846.44x = 16,541,522,486.87
  5. Step 5: Solve for x
    x = 16,541,522,486.87/145,846.44
  6. Step 6: Final answer
    x = 113,417.39

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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.