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Finding the Fourth Proportional to 205,004.96, 307,644.24 and 71,885.12

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Solution

The fourth proportional to 205,004.96, 307,644.24 and 71,885.12 is: 107,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,004.96 : 307,644.24 = 71,885.12 : x
  2. Step 2: Convert to fraction form
    205,004.96/307,644.24 = 71,885.12/x
  3. Step 3: Cross multiply
    205,004.96x = 307,644.24 × 71,885.12
  4. Step 4: Simplify right side
    205,004.96x = 22,115,043,109.71
  5. Step 5: Solve for x
    x = 22,115,043,109.71/205,004.96
  6. Step 6: Final answer
    x = 107,875.65

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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.