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Finding the Fourth Proportional to 108,137.54, 162,210.78 and 37,109

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Solution

The fourth proportional to 108,137.54, 162,210.78 and 37,109 is: 55,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,137.54 : 162,210.78 = 37,109 : x
  2. Step 2: Convert to fraction form
    108,137.54/162,210.78 = 37,109/x
  3. Step 3: Cross multiply
    108,137.54x = 162,210.78 × 37,109
  4. Step 4: Simplify right side
    108,137.54x = 6,019,479,835.02
  5. Step 5: Solve for x
    x = 6,019,479,835.02/108,137.54
  6. Step 6: Final answer
    x = 55,665.03

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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.