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Finding the Fourth Proportional to 180,963.36, 271,401.30 and 75,861

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Solution

The fourth proportional to 180,963.36, 271,401.30 and 75,861 is: 113,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,963.36 : 271,401.30 = 75,861 : x
  2. Step 2: Convert to fraction form
    180,963.36/271,401.30 = 75,861/x
  3. Step 3: Cross multiply
    180,963.36x = 271,401.30 × 75,861
  4. Step 4: Simplify right side
    180,963.36x = 20,588,774,019.30
  5. Step 5: Solve for x
    x = 20,588,774,019.30/180,963.36
  6. Step 6: Final answer
    x = 113,773.16

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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.