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Finding the Fourth Proportional to 106,645.30, 159,869.07 and 40,129.51

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Solution

The fourth proportional to 106,645.30, 159,869.07 and 40,129.51 is: 60,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,645.30 : 159,869.07 = 40,129.51 : x
  2. Step 2: Convert to fraction form
    106,645.30/159,869.07 = 40,129.51/x
  3. Step 3: Cross multiply
    106,645.30x = 159,869.07 × 40,129.51
  4. Step 4: Simplify right side
    106,645.30x = 6,415,467,443.26
  5. Step 5: Solve for x
    x = 6,415,467,443.26/106,645.30
  6. Step 6: Final answer
    x = 60,157.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.