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Finding the Fourth Proportional to 145,760.36, 201,161.63 and 82,110.46

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Solution

The fourth proportional to 145,760.36, 201,161.63 and 82,110.46 is: 113,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,760.36 : 201,161.63 = 82,110.46 : x
  2. Step 2: Convert to fraction form
    145,760.36/201,161.63 = 82,110.46/x
  3. Step 3: Cross multiply
    145,760.36x = 201,161.63 × 82,110.46
  4. Step 4: Simplify right side
    145,760.36x = 16,517,473,591.33
  5. Step 5: Solve for x
    x = 16,517,473,591.33/145,760.36
  6. Step 6: Final answer
    x = 113,319.38

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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.