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Finding the Fourth Proportional to 105,199.34, 145,175.62 and 57,452.68

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Solution

The fourth proportional to 105,199.34, 145,175.62 and 57,452.68 is: 79,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,199.34 : 145,175.62 = 57,452.68 : x
  2. Step 2: Convert to fraction form
    105,199.34/145,175.62 = 57,452.68/x
  3. Step 3: Cross multiply
    105,199.34x = 145,175.62 × 57,452.68
  4. Step 4: Simplify right side
    105,199.34x = 8,340,728,439.66
  5. Step 5: Solve for x
    x = 8,340,728,439.66/105,199.34
  6. Step 6: Final answer
    x = 79,284.99

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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.