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Finding the Fourth Proportional to 272,842.20, 409,263.30 and 188,861.40

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Solution

The fourth proportional to 272,842.20, 409,263.30 and 188,861.40 is: 283,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,842.20 : 409,263.30 = 188,861.40 : x
  2. Step 2: Convert to fraction form
    272,842.20/409,263.30 = 188,861.40/x
  3. Step 3: Cross multiply
    272,842.20x = 409,263.30 × 188,861.40
  4. Step 4: Simplify right side
    272,842.20x = 77,294,039,806.62
  5. Step 5: Solve for x
    x = 77,294,039,806.62/272,842.20
  6. Step 6: Final answer
    x = 283,292.10

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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.