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Finding the Fourth Proportional to 194,452, 268,343.94 and 105,028

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Solution

The fourth proportional to 194,452, 268,343.94 and 105,028 is: 144,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,452 : 268,343.94 = 105,028 : x
  2. Step 2: Convert to fraction form
    194,452/268,343.94 = 105,028/x
  3. Step 3: Cross multiply
    194,452x = 268,343.94 × 105,028
  4. Step 4: Simplify right side
    194,452x = 28,183,627,330.32
  5. Step 5: Solve for x
    x = 28,183,627,330.32/194,452
  6. Step 6: Final answer
    x = 144,938.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.