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Finding the Fourth Proportional to 145,719.06, 201,086.46 and 82,059.54

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Solution

The fourth proportional to 145,719.06, 201,086.46 and 82,059.54 is: 113,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,719.06 : 201,086.46 = 82,059.54 : x
  2. Step 2: Convert to fraction form
    145,719.06/201,086.46 = 82,059.54/x
  3. Step 3: Cross multiply
    145,719.06x = 201,086.46 × 82,059.54
  4. Step 4: Simplify right side
    145,719.06x = 16,501,062,407.83
  5. Step 5: Solve for x
    x = 16,501,062,407.83/145,719.06
  6. Step 6: Final answer
    x = 113,238.87

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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.