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Finding the Fourth Proportional to 204,905.30, 282,761.88 and 118,866

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Solution

The fourth proportional to 204,905.30, 282,761.88 and 118,866 is: 164,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,905.30 : 282,761.88 = 118,866 : x
  2. Step 2: Convert to fraction form
    204,905.30/282,761.88 = 118,866/x
  3. Step 3: Cross multiply
    204,905.30x = 282,761.88 × 118,866
  4. Step 4: Simplify right side
    204,905.30x = 33,610,773,628.08
  5. Step 5: Solve for x
    x = 33,610,773,628.08/204,905.30
  6. Step 6: Final answer
    x = 164,030.77

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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.