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Finding the Fourth Proportional to 194,494.45, 268,142.39 and 145,889.77

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Solution

The fourth proportional to 194,494.45, 268,142.39 and 145,889.77 is: 201,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,494.45 : 268,142.39 = 145,889.77 : x
  2. Step 2: Convert to fraction form
    194,494.45/268,142.39 = 145,889.77/x
  3. Step 3: Cross multiply
    194,494.45x = 268,142.39 × 145,889.77
  4. Step 4: Simplify right side
    194,494.45x = 39,119,230,874.90
  5. Step 5: Solve for x
    x = 39,119,230,874.90/194,494.45
  6. Step 6: Final answer
    x = 201,132.89

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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.