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Finding the Fourth Proportional to 145,690.08, 201,051.84 and 82,028.16

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Solution

The fourth proportional to 145,690.08, 201,051.84 and 82,028.16 is: 113,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690.08 : 201,051.84 = 82,028.16 : x
  2. Step 2: Convert to fraction form
    145,690.08/201,051.84 = 82,028.16/x
  3. Step 3: Cross multiply
    145,690.08x = 201,051.84 × 82,028.16
  4. Step 4: Simplify right side
    145,690.08x = 16,491,912,499.81
  5. Step 5: Solve for x
    x = 16,491,912,499.81/145,690.08
  6. Step 6: Final answer
    x = 113,198.60

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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.