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Finding the Fourth Proportional to 156,771, 235,195.56 and 45,963

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Solution

The fourth proportional to 156,771, 235,195.56 and 45,963 is: 68,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,771 : 235,195.56 = 45,963 : x
  2. Step 2: Convert to fraction form
    156,771/235,195.56 = 45,963/x
  3. Step 3: Cross multiply
    156,771x = 235,195.56 × 45,963
  4. Step 4: Simplify right side
    156,771x = 10,810,293,524.28
  5. Step 5: Solve for x
    x = 10,810,293,524.28/156,771
  6. Step 6: Final answer
    x = 68,955.95

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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.