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Finding the Fourth Proportional to 103,963.45, 143,469.48 and 56,216.38

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Solution

The fourth proportional to 103,963.45, 143,469.48 and 56,216.38 is: 77,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.45 : 143,469.48 = 56,216.38 : x
  2. Step 2: Convert to fraction form
    103,963.45/143,469.48 = 56,216.38/x
  3. Step 3: Cross multiply
    103,963.45x = 143,469.48 × 56,216.38
  4. Step 4: Simplify right side
    103,963.45x = 8,065,334,806.08
  5. Step 5: Solve for x
    x = 8,065,334,806.08/103,963.45
  6. Step 6: Final answer
    x = 77,578.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.