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Finding the Fourth Proportional to 162,364.53, 223,917.96 and 101,940.82

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Solution

The fourth proportional to 162,364.53, 223,917.96 and 101,940.82 is: 140,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,364.53 : 223,917.96 = 101,940.82 : x
  2. Step 2: Convert to fraction form
    162,364.53/223,917.96 = 101,940.82/x
  3. Step 3: Cross multiply
    162,364.53x = 223,917.96 × 101,940.82
  4. Step 4: Simplify right side
    162,364.53x = 22,826,380,455.13
  5. Step 5: Solve for x
    x = 22,826,380,455.13/162,364.53
  6. Step 6: Final answer
    x = 140,587.24

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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.