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Finding the Fourth Proportional to 206,539.14, 285,028.29 and 115,901.67

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Solution

The fourth proportional to 206,539.14, 285,028.29 and 115,901.67 is: 159,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,539.14 : 285,028.29 = 115,901.67 : x
  2. Step 2: Convert to fraction form
    206,539.14/285,028.29 = 115,901.67/x
  3. Step 3: Cross multiply
    206,539.14x = 285,028.29 × 115,901.67
  4. Step 4: Simplify right side
    206,539.14x = 33,035,254,808.24
  5. Step 5: Solve for x
    x = 33,035,254,808.24/206,539.14
  6. Step 6: Final answer
    x = 159,946.70

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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.