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Finding the Fourth Proportional to 106,334.58, 146,539.92 and 76,067.42

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Solution

The fourth proportional to 106,334.58, 146,539.92 and 76,067.42 is: 104,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,334.58 : 146,539.92 = 76,067.42 : x
  2. Step 2: Convert to fraction form
    106,334.58/146,539.92 = 76,067.42/x
  3. Step 3: Cross multiply
    106,334.58x = 146,539.92 × 76,067.42
  4. Step 4: Simplify right side
    106,334.58x = 11,146,912,908.71
  5. Step 5: Solve for x
    x = 11,146,912,908.71/106,334.58
  6. Step 6: Final answer
    x = 104,828.67

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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.