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Finding the Fourth Proportional to 106,420.92, 146,861.82 and 58,675.98

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Solution

The fourth proportional to 106,420.92, 146,861.82 and 58,675.98 is: 80,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.92 : 146,861.82 = 58,675.98 : x
  2. Step 2: Convert to fraction form
    106,420.92/146,861.82 = 58,675.98/x
  3. Step 3: Cross multiply
    106,420.92x = 146,861.82 × 58,675.98
  4. Step 4: Simplify right side
    106,420.92x = 8,617,261,213.08
  5. Step 5: Solve for x
    x = 8,617,261,213.08/106,420.92
  6. Step 6: Final answer
    x = 80,973.38

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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.