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Finding the Fourth Proportional to 268,210.85, 401,942.12 and 201,572.96

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Solution

The fourth proportional to 268,210.85, 401,942.12 and 201,572.96 is: 302,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,210.85 : 401,942.12 = 201,572.96 : x
  2. Step 2: Convert to fraction form
    268,210.85/401,942.12 = 201,572.96/x
  3. Step 3: Cross multiply
    268,210.85x = 401,942.12 × 201,572.96
  4. Step 4: Simplify right side
    268,210.85x = 81,020,659,859.50
  5. Step 5: Solve for x
    x = 81,020,659,859.50/268,210.85
  6. Step 6: Final answer
    x = 302,078.24

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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.