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Finding the Fourth Proportional to 165,539.64, 228,285.90 and 111,214.56

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Solution

The fourth proportional to 165,539.64, 228,285.90 and 111,214.56 is: 153,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,539.64 : 228,285.90 = 111,214.56 : x
  2. Step 2: Convert to fraction form
    165,539.64/228,285.90 = 111,214.56/x
  3. Step 3: Cross multiply
    165,539.64x = 228,285.90 × 111,214.56
  4. Step 4: Simplify right side
    165,539.64x = 25,388,715,922.70
  5. Step 5: Solve for x
    x = 25,388,715,922.70/165,539.64
  6. Step 6: Final answer
    x = 153,369.40

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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.