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Finding the Fourth Proportional to 194,623.50, 268,580.46 and 105,199.50

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Solution

The fourth proportional to 194,623.50, 268,580.46 and 105,199.50 is: 145,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,623.50 : 268,580.46 = 105,199.50 : x
  2. Step 2: Convert to fraction form
    194,623.50/268,580.46 = 105,199.50/x
  3. Step 3: Cross multiply
    194,623.50x = 268,580.46 × 105,199.50
  4. Step 4: Simplify right side
    194,623.50x = 28,254,530,101.77
  5. Step 5: Solve for x
    x = 28,254,530,101.77/194,623.50
  6. Step 6: Final answer
    x = 145,175.33

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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.