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Finding the Fourth Proportional to 103,741.38, 143,164.96 and 61,299.82

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Solution

The fourth proportional to 103,741.38, 143,164.96 and 61,299.82 is: 84,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,741.38 : 143,164.96 = 61,299.82 : x
  2. Step 2: Convert to fraction form
    103,741.38/143,164.96 = 61,299.82/x
  3. Step 3: Cross multiply
    103,741.38x = 143,164.96 × 61,299.82
  4. Step 4: Simplify right side
    103,741.38x = 8,775,986,278.31
  5. Step 5: Solve for x
    x = 8,775,986,278.31/103,741.38
  6. Step 6: Final answer
    x = 84,594.85

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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.