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Finding the Fourth Proportional to 106,477.92, 146,965.14 and 64,028.25

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Solution

The fourth proportional to 106,477.92, 146,965.14 and 64,028.25 is: 88,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,477.92 : 146,965.14 = 64,028.25 : x
  2. Step 2: Convert to fraction form
    106,477.92/146,965.14 = 64,028.25/x
  3. Step 3: Cross multiply
    106,477.92x = 146,965.14 × 64,028.25
  4. Step 4: Simplify right side
    106,477.92x = 9,409,920,725.21
  5. Step 5: Solve for x
    x = 9,409,920,725.21/106,477.92
  6. Step 6: Final answer
    x = 88,374.39

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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.