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Finding the Fourth Proportional to 162,353.25, 223,969.32 and 101,894.04

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Solution

The fourth proportional to 162,353.25, 223,969.32 and 101,894.04 is: 140,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,353.25 : 223,969.32 = 101,894.04 : x
  2. Step 2: Convert to fraction form
    162,353.25/223,969.32 = 101,894.04/x
  3. Step 3: Cross multiply
    162,353.25x = 223,969.32 × 101,894.04
  4. Step 4: Simplify right side
    162,353.25x = 22,821,138,850.85
  5. Step 5: Solve for x
    x = 22,821,138,850.85/162,353.25
  6. Step 6: Final answer
    x = 140,564.72

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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.