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Finding the Fourth Proportional to 145,082.90, 217,599.28 and 38,467.60

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Solution

The fourth proportional to 145,082.90, 217,599.28 and 38,467.60 is: 57,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,082.90 : 217,599.28 = 38,467.60 : x
  2. Step 2: Convert to fraction form
    145,082.90/217,599.28 = 38,467.60/x
  3. Step 3: Cross multiply
    145,082.90x = 217,599.28 × 38,467.60
  4. Step 4: Simplify right side
    145,082.90x = 8,370,522,063.33
  5. Step 5: Solve for x
    x = 8,370,522,063.33/145,082.90
  6. Step 6: Final answer
    x = 57,694.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.