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Finding the Fourth Proportional to 165,842.16, 228,797.22 and 102,069.24

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Solution

The fourth proportional to 165,842.16, 228,797.22 and 102,069.24 is: 140,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,842.16 : 228,797.22 = 102,069.24 : x
  2. Step 2: Convert to fraction form
    165,842.16/228,797.22 = 102,069.24/x
  3. Step 3: Cross multiply
    165,842.16x = 228,797.22 × 102,069.24
  4. Step 4: Simplify right side
    165,842.16x = 23,353,158,359.51
  5. Step 5: Solve for x
    x = 23,353,158,359.51/165,842.16
  6. Step 6: Final answer
    x = 140,815.57

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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.