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Finding the Fourth Proportional to 106,495.98, 146,958.51 and 58,739.82

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Solution

The fourth proportional to 106,495.98, 146,958.51 and 58,739.82 is: 81,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,495.98 : 146,958.51 = 58,739.82 : x
  2. Step 2: Convert to fraction form
    106,495.98/146,958.51 = 58,739.82/x
  3. Step 3: Cross multiply
    106,495.98x = 146,958.51 × 58,739.82
  4. Step 4: Simplify right side
    106,495.98x = 8,632,316,424.87
  5. Step 5: Solve for x
    x = 8,632,316,424.87/106,495.98
  6. Step 6: Final answer
    x = 81,057.67

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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.