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Finding the Fourth Proportional to 105,361.70, 158,064.14 and 35,241.62

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Solution

The fourth proportional to 105,361.70, 158,064.14 and 35,241.62 is: 52,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,361.70 : 158,064.14 = 35,241.62 : x
  2. Step 2: Convert to fraction form
    105,361.70/158,064.14 = 35,241.62/x
  3. Step 3: Cross multiply
    105,361.70x = 158,064.14 × 35,241.62
  4. Step 4: Simplify right side
    105,361.70x = 5,570,435,655.29
  5. Step 5: Solve for x
    x = 5,570,435,655.29/105,361.70
  6. Step 6: Final answer
    x = 52,869.65

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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.