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Finding the Fourth Proportional to 102,087, 140,880.06 and 57,375

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Solution

The fourth proportional to 102,087, 140,880.06 and 57,375 is: 79,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087 : 140,880.06 = 57,375 : x
  2. Step 2: Convert to fraction form
    102,087/140,880.06 = 57,375/x
  3. Step 3: Cross multiply
    102,087x = 140,880.06 × 57,375
  4. Step 4: Simplify right side
    102,087x = 8,082,993,442.50
  5. Step 5: Solve for x
    x = 8,082,993,442.50/102,087
  6. Step 6: Final answer
    x = 79,177.50

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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.