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Finding the Fourth Proportional to 103,438.36, 142,779.90 and 67,189.24

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Solution

The fourth proportional to 103,438.36, 142,779.90 and 67,189.24 is: 92,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.36 : 142,779.90 = 67,189.24 : x
  2. Step 2: Convert to fraction form
    103,438.36/142,779.90 = 67,189.24/x
  3. Step 3: Cross multiply
    103,438.36x = 142,779.90 × 67,189.24
  4. Step 4: Simplify right side
    103,438.36x = 9,593,272,968.28
  5. Step 5: Solve for x
    x = 9,593,272,968.28/103,438.36
  6. Step 6: Final answer
    x = 92,743.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.