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Finding the Fourth Proportional to 133,214.96, 183,645.96 and 82,193.60

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Solution

The fourth proportional to 133,214.96, 183,645.96 and 82,193.60 is: 113,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,214.96 : 183,645.96 = 82,193.60 : x
  2. Step 2: Convert to fraction form
    133,214.96/183,645.96 = 82,193.60/x
  3. Step 3: Cross multiply
    133,214.96x = 183,645.96 × 82,193.60
  4. Step 4: Simplify right side
    133,214.96x = 15,094,522,577.86
  5. Step 5: Solve for x
    x = 15,094,522,577.86/133,214.96
  6. Step 6: Final answer
    x = 113,309.52

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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.