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Finding the Fourth Proportional to 99,857.20, 149,712.90 and 40,662.40

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Solution

The fourth proportional to 99,857.20, 149,712.90 and 40,662.40 is: 60,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,857.20 : 149,712.90 = 40,662.40 : x
  2. Step 2: Convert to fraction form
    99,857.20/149,712.90 = 40,662.40/x
  3. Step 3: Cross multiply
    99,857.20x = 149,712.90 × 40,662.40
  4. Step 4: Simplify right side
    99,857.20x = 6,087,685,824.96
  5. Step 5: Solve for x
    x = 6,087,685,824.96/99,857.20
  6. Step 6: Final answer
    x = 60,963.91

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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.