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Finding the Fourth Proportional to 223,216.20, 307,869.55 and 155,199.13

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Solution

The fourth proportional to 223,216.20, 307,869.55 and 155,199.13 is: 214,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,216.20 : 307,869.55 = 155,199.13 : x
  2. Step 2: Convert to fraction form
    223,216.20/307,869.55 = 155,199.13/x
  3. Step 3: Cross multiply
    223,216.20x = 307,869.55 × 155,199.13
  4. Step 4: Simplify right side
    223,216.20x = 47,781,086,313.49
  5. Step 5: Solve for x
    x = 47,781,086,313.49/223,216.20
  6. Step 6: Final answer
    x = 214,057.43

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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.