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Finding the Fourth Proportional to 206,022.50, 309,058.25 and 72,875.51

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Solution

The fourth proportional to 206,022.50, 309,058.25 and 72,875.51 is: 109,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,022.50 : 309,058.25 = 72,875.51 : x
  2. Step 2: Convert to fraction form
    206,022.50/309,058.25 = 72,875.51/x
  3. Step 3: Cross multiply
    206,022.50x = 309,058.25 × 72,875.51
  4. Step 4: Simplify right side
    206,022.50x = 22,522,777,588.46
  5. Step 5: Solve for x
    x = 22,522,777,588.46/206,022.50
  6. Step 6: Final answer
    x = 109,321.93

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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.