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Finding the Fourth Proportional to 262,147.32, 361,758.96 and 145,856.43

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Solution

The fourth proportional to 262,147.32, 361,758.96 and 145,856.43 is: 201,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,147.32 : 361,758.96 = 145,856.43 : x
  2. Step 2: Convert to fraction form
    262,147.32/361,758.96 = 145,856.43/x
  3. Step 3: Cross multiply
    262,147.32x = 361,758.96 × 145,856.43
  4. Step 4: Simplify right side
    262,147.32x = 52,764,870,426.11
  5. Step 5: Solve for x
    x = 52,764,870,426.11/262,147.32
  6. Step 6: Final answer
    x = 201,279.46

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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.