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Finding the Fourth Proportional to 165,829, 228,850.20 and 94,221.15

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Solution

The fourth proportional to 165,829, 228,850.20 and 94,221.15 is: 130,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,829 : 228,850.20 = 94,221.15 : x
  2. Step 2: Convert to fraction form
    165,829/228,850.20 = 94,221.15/x
  3. Step 3: Cross multiply
    165,829x = 228,850.20 × 94,221.15
  4. Step 4: Simplify right side
    165,829x = 21,562,528,550.62
  5. Step 5: Solve for x
    x = 21,562,528,550.62/165,829
  6. Step 6: Final answer
    x = 130,028.70

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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.