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Finding the Fourth Proportional to 106,362, 146,778.48 and 63,371.16

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Solution

The fourth proportional to 106,362, 146,778.48 and 63,371.16 is: 87,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,362 : 146,778.48 = 63,371.16 : x
  2. Step 2: Convert to fraction form
    106,362/146,778.48 = 63,371.16/x
  3. Step 3: Cross multiply
    106,362x = 146,778.48 × 63,371.16
  4. Step 4: Simplify right side
    106,362x = 9,301,522,540.64
  5. Step 5: Solve for x
    x = 9,301,522,540.64/106,362
  6. Step 6: Final answer
    x = 87,451.56

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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.