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Finding the Fourth Proportional to 145,711.89, 201,082.38 and 82,048.32

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Solution

The fourth proportional to 145,711.89, 201,082.38 and 82,048.32 is: 113,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,711.89 : 201,082.38 = 82,048.32 : x
  2. Step 2: Convert to fraction form
    145,711.89/201,082.38 = 82,048.32/x
  3. Step 3: Cross multiply
    145,711.89x = 201,082.38 × 82,048.32
  4. Step 4: Simplify right side
    145,711.89x = 16,498,471,460.60
  5. Step 5: Solve for x
    x = 16,498,471,460.60/145,711.89
  6. Step 6: Final answer
    x = 113,226.67

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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.