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Finding the Fourth Proportional to 203,199.26, 280,402 and 117,153.78

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Solution

The fourth proportional to 203,199.26, 280,402 and 117,153.78 is: 161,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,199.26 : 280,402 = 117,153.78 : x
  2. Step 2: Convert to fraction form
    203,199.26/280,402 = 117,153.78/x
  3. Step 3: Cross multiply
    203,199.26x = 280,402 × 117,153.78
  4. Step 4: Simplify right side
    203,199.26x = 32,850,154,219.56
  5. Step 5: Solve for x
    x = 32,850,154,219.56/203,199.26
  6. Step 6: Final answer
    x = 161,664.73

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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.