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Finding the Fourth Proportional to 165,051.50, 227,773.84 and 89,600

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Solution

The fourth proportional to 165,051.50, 227,773.84 and 89,600 is: 123,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,051.50 : 227,773.84 = 89,600 : x
  2. Step 2: Convert to fraction form
    165,051.50/227,773.84 = 89,600/x
  3. Step 3: Cross multiply
    165,051.50x = 227,773.84 × 89,600
  4. Step 4: Simplify right side
    165,051.50x = 20,408,536,064
  5. Step 5: Solve for x
    x = 20,408,536,064/165,051.50
  6. Step 6: Final answer
    x = 123,649.50

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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.