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Finding the Fourth Proportional to 105,241.38, 145,235.96 and 62,824.53

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Solution

The fourth proportional to 105,241.38, 145,235.96 and 62,824.53 is: 86,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,241.38 : 145,235.96 = 62,824.53 : x
  2. Step 2: Convert to fraction form
    105,241.38/145,235.96 = 62,824.53/x
  3. Step 3: Cross multiply
    105,241.38x = 145,235.96 × 62,824.53
  4. Step 4: Simplify right side
    105,241.38x = 9,124,380,611.98
  5. Step 5: Solve for x
    x = 9,124,380,611.98/105,241.38
  6. Step 6: Final answer
    x = 86,699.55

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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.