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Finding the Fourth Proportional to 205,254.68, 283,236.54 and 119,174.36

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Solution

The fourth proportional to 205,254.68, 283,236.54 and 119,174.36 is: 164,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,254.68 : 283,236.54 = 119,174.36 : x
  2. Step 2: Convert to fraction form
    205,254.68/283,236.54 = 119,174.36/x
  3. Step 3: Cross multiply
    205,254.68x = 283,236.54 × 119,174.36
  4. Step 4: Simplify right side
    205,254.68x = 33,754,533,383.11
  5. Step 5: Solve for x
    x = 33,754,533,383.11/205,254.68
  6. Step 6: Final answer
    x = 164,451.95

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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.