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Finding the Fourth Proportional to 205,010.40, 307,256.40 and 182,719.20

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Solution

The fourth proportional to 205,010.40, 307,256.40 and 182,719.20 is: 273,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,010.40 : 307,256.40 = 182,719.20 : x
  2. Step 2: Convert to fraction form
    205,010.40/307,256.40 = 182,719.20/x
  3. Step 3: Cross multiply
    205,010.40x = 307,256.40 × 182,719.20
  4. Step 4: Simplify right side
    205,010.40x = 56,141,643,602.88
  5. Step 5: Solve for x
    x = 56,141,643,602.88/205,010.40
  6. Step 6: Final answer
    x = 273,847.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.