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Finding the Fourth Proportional to 106,405.96, 159,607.98 and 40,741.96

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Solution

The fourth proportional to 106,405.96, 159,607.98 and 40,741.96 is: 61,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405.96 : 159,607.98 = 40,741.96 : x
  2. Step 2: Convert to fraction form
    106,405.96/159,607.98 = 40,741.96/x
  3. Step 3: Cross multiply
    106,405.96x = 159,607.98 × 40,741.96
  4. Step 4: Simplify right side
    106,405.96x = 6,502,741,936.84
  5. Step 5: Solve for x
    x = 6,502,741,936.84/106,405.96
  6. Step 6: Final answer
    x = 61,112.57

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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.