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Finding the Fourth Proportional to 287,537.08, 396,807.78 and 160,220.44

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Solution

The fourth proportional to 287,537.08, 396,807.78 and 160,220.44 is: 221,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,537.08 : 396,807.78 = 160,220.44 : x
  2. Step 2: Convert to fraction form
    287,537.08/396,807.78 = 160,220.44/x
  3. Step 3: Cross multiply
    287,537.08x = 396,807.78 × 160,220.44
  4. Step 4: Simplify right side
    287,537.08x = 63,576,717,107.02
  5. Step 5: Solve for x
    x = 63,576,717,107.02/287,537.08
  6. Step 6: Final answer
    x = 221,107.89

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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.