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Finding the Fourth Proportional to 106,378.92, 146,792.40 and 63,349.85

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Solution

The fourth proportional to 106,378.92, 146,792.40 and 63,349.85 is: 87,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378.92 : 146,792.40 = 63,349.85 : x
  2. Step 2: Convert to fraction form
    106,378.92/146,792.40 = 63,349.85/x
  3. Step 3: Cross multiply
    106,378.92x = 146,792.40 × 63,349.85
  4. Step 4: Simplify right side
    106,378.92x = 9,299,276,650.56
  5. Step 5: Solve for x
    x = 9,299,276,650.56/106,378.92
  6. Step 6: Final answer
    x = 87,416.54

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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.