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Finding the Fourth Proportional to 103,676.14, 142,999.38 and 69,203.50

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Solution

The fourth proportional to 103,676.14, 142,999.38 and 69,203.50 is: 95,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676.14 : 142,999.38 = 69,203.50 : x
  2. Step 2: Convert to fraction form
    103,676.14/142,999.38 = 69,203.50/x
  3. Step 3: Cross multiply
    103,676.14x = 142,999.38 × 69,203.50
  4. Step 4: Simplify right side
    103,676.14x = 9,896,056,532.82
  5. Step 5: Solve for x
    x = 9,896,056,532.82/103,676.14
  6. Step 6: Final answer
    x = 95,451.63

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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.