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Finding the Fourth Proportional to 178,759.82, 268,139.49 and 45,640.10

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Solution

The fourth proportional to 178,759.82, 268,139.49 and 45,640.10 is: 68,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,759.82 : 268,139.49 = 45,640.10 : x
  2. Step 2: Convert to fraction form
    178,759.82/268,139.49 = 45,640.10/x
  3. Step 3: Cross multiply
    178,759.82x = 268,139.49 × 45,640.10
  4. Step 4: Simplify right side
    178,759.82x = 12,237,913,137.55
  5. Step 5: Solve for x
    x = 12,237,913,137.55/178,759.82
  6. Step 6: Final answer
    x = 68,460.09

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Why These Related Problems?

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