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Finding the Fourth Proportional to 165,815, 228,826.32 and 90,365.12

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Solution

The fourth proportional to 165,815, 228,826.32 and 90,365.12 is: 124,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,815 : 228,826.32 = 90,365.12 : x
  2. Step 2: Convert to fraction form
    165,815/228,826.32 = 90,365.12/x
  3. Step 3: Cross multiply
    165,815x = 228,826.32 × 90,365.12
  4. Step 4: Simplify right side
    165,815x = 20,677,917,865.96
  5. Step 5: Solve for x
    x = 20,677,917,865.96/165,815
  6. Step 6: Final answer
    x = 124,704.75

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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.