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Finding the Fourth Proportional to 194,433, 268,317.54 and 105,009

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Solution

The fourth proportional to 194,433, 268,317.54 and 105,009 is: 144,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,433 : 268,317.54 = 105,009 : x
  2. Step 2: Convert to fraction form
    194,433/268,317.54 = 105,009/x
  3. Step 3: Cross multiply
    194,433x = 268,317.54 × 105,009
  4. Step 4: Simplify right side
    194,433x = 28,175,756,557.86
  5. Step 5: Solve for x
    x = 28,175,756,557.86/194,433
  6. Step 6: Final answer
    x = 144,912.42

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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.