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Finding the Fourth Proportional to 145,865.28, 201,291.30 and 82,201.80

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Solution

The fourth proportional to 145,865.28, 201,291.30 and 82,201.80 is: 113,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,865.28 : 201,291.30 = 82,201.80 : x
  2. Step 2: Convert to fraction form
    145,865.28/201,291.30 = 82,201.80/x
  3. Step 3: Cross multiply
    145,865.28x = 201,291.30 × 82,201.80
  4. Step 4: Simplify right side
    145,865.28x = 16,546,507,184.34
  5. Step 5: Solve for x
    x = 16,546,507,184.34/145,865.28
  6. Step 6: Final answer
    x = 113,436.91

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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.