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Finding the Fourth Proportional to 125,284, 172,982.64 and 80,649.76

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Solution

The fourth proportional to 125,284, 172,982.64 and 80,649.76 is: 111,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,284 : 172,982.64 = 80,649.76 : x
  2. Step 2: Convert to fraction form
    125,284/172,982.64 = 80,649.76/x
  3. Step 3: Cross multiply
    125,284x = 172,982.64 × 80,649.76
  4. Step 4: Simplify right side
    125,284x = 13,951,008,400.17
  5. Step 5: Solve for x
    x = 13,951,008,400.17/125,284
  6. Step 6: Final answer
    x = 111,355.07

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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.