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Finding the Fourth Proportional to 106,410.96, 159,615.48 and 40,746.96

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Solution

The fourth proportional to 106,410.96, 159,615.48 and 40,746.96 is: 61,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410.96 : 159,615.48 = 40,746.96 : x
  2. Step 2: Convert to fraction form
    106,410.96/159,615.48 = 40,746.96/x
  3. Step 3: Cross multiply
    106,410.96x = 159,615.48 × 40,746.96
  4. Step 4: Simplify right side
    106,410.96x = 6,503,845,578.94
  5. Step 5: Solve for x
    x = 6,503,845,578.94/106,410.96
  6. Step 6: Final answer
    x = 61,120.07

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Why These Related Problems?

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