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Finding the Fourth Proportional to 106,216.88, 146,578.16 and 58,469.28

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Solution

The fourth proportional to 106,216.88, 146,578.16 and 58,469.28 is: 80,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,216.88 : 146,578.16 = 58,469.28 : x
  2. Step 2: Convert to fraction form
    106,216.88/146,578.16 = 58,469.28/x
  3. Step 3: Cross multiply
    106,216.88x = 146,578.16 × 58,469.28
  4. Step 4: Simplify right side
    106,216.88x = 8,570,319,478.92
  5. Step 5: Solve for x
    x = 8,570,319,478.92/106,216.88
  6. Step 6: Final answer
    x = 80,686.98

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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.