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Finding the Fourth Proportional to 106,498.43, 146,968.34 and 58,751.77

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Solution

The fourth proportional to 106,498.43, 146,968.34 and 58,751.77 is: 81,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498.43 : 146,968.34 = 58,751.77 : x
  2. Step 2: Convert to fraction form
    106,498.43/146,968.34 = 58,751.77/x
  3. Step 3: Cross multiply
    106,498.43x = 146,968.34 × 58,751.77
  4. Step 4: Simplify right side
    106,498.43x = 8,634,649,447.78
  5. Step 5: Solve for x
    x = 8,634,649,447.78/106,498.43
  6. Step 6: Final answer
    x = 81,077.71

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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.