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Finding the Fourth Proportional to 287,107.50, 430,665.09 and 90,115.50

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Solution

The fourth proportional to 287,107.50, 430,665.09 and 90,115.50 is: 135,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,107.50 : 430,665.09 = 90,115.50 : x
  2. Step 2: Convert to fraction form
    287,107.50/430,665.09 = 90,115.50/x
  3. Step 3: Cross multiply
    287,107.50x = 430,665.09 × 90,115.50
  4. Step 4: Simplify right side
    287,107.50x = 38,809,599,917.90
  5. Step 5: Solve for x
    x = 38,809,599,917.90/287,107.50
  6. Step 6: Final answer
    x = 135,174.46

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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.