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Finding the Fourth Proportional to 119,906.57, 165,471.35 and 65,458.77

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Solution

The fourth proportional to 119,906.57, 165,471.35 and 65,458.77 is: 90,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,906.57 : 165,471.35 = 65,458.77 : x
  2. Step 2: Convert to fraction form
    119,906.57/165,471.35 = 65,458.77/x
  3. Step 3: Cross multiply
    119,906.57x = 165,471.35 × 65,458.77
  4. Step 4: Simplify right side
    119,906.57x = 10,831,550,713.95
  5. Step 5: Solve for x
    x = 10,831,550,713.95/119,906.57
  6. Step 6: Final answer
    x = 90,333.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.