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Finding the Fourth Proportional to 99,414.62, 149,078.19 and 52,656.56

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Solution

The fourth proportional to 99,414.62, 149,078.19 and 52,656.56 is: 78,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,414.62 : 149,078.19 = 52,656.56 : x
  2. Step 2: Convert to fraction form
    99,414.62/149,078.19 = 52,656.56/x
  3. Step 3: Cross multiply
    99,414.62x = 149,078.19 × 52,656.56
  4. Step 4: Simplify right side
    99,414.62x = 7,849,944,656.43
  5. Step 5: Solve for x
    x = 7,849,944,656.43/99,414.62
  6. Step 6: Final answer
    x = 78,961.67

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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.