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Finding the Fourth Proportional to 145,661.37, 201,016.41 and 82,001.40

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Solution

The fourth proportional to 145,661.37, 201,016.41 and 82,001.40 is: 113,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,661.37 : 201,016.41 = 82,001.40 : x
  2. Step 2: Convert to fraction form
    145,661.37/201,016.41 = 82,001.40/x
  3. Step 3: Cross multiply
    145,661.37x = 201,016.41 × 82,001.40
  4. Step 4: Simplify right side
    145,661.37x = 16,483,627,042.97
  5. Step 5: Solve for x
    x = 16,483,627,042.97/145,661.37
  6. Step 6: Final answer
    x = 113,164.03

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