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Finding the Fourth Proportional to 152,221.68, 228,157.56 and 102,241.44

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Solution

The fourth proportional to 152,221.68, 228,157.56 and 102,241.44 is: 153,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,221.68 : 228,157.56 = 102,241.44 : x
  2. Step 2: Convert to fraction form
    152,221.68/228,157.56 = 102,241.44/x
  3. Step 3: Cross multiply
    152,221.68x = 228,157.56 × 102,241.44
  4. Step 4: Simplify right side
    152,221.68x = 23,327,157,481.29
  5. Step 5: Solve for x
    x = 23,327,157,481.29/152,221.68
  6. Step 6: Final answer
    x = 153,244.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.