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Finding the Fourth Proportional to 194,701, 268,716.56 and 119,293.24

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Solution

The fourth proportional to 194,701, 268,716.56 and 119,293.24 is: 164,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,701 : 268,716.56 = 119,293.24 : x
  2. Step 2: Convert to fraction form
    194,701/268,716.56 = 119,293.24/x
  3. Step 3: Cross multiply
    194,701x = 268,716.56 × 119,293.24
  4. Step 4: Simplify right side
    194,701x = 32,056,069,084.05
  5. Step 5: Solve for x
    x = 32,056,069,084.05/194,701
  6. Step 6: Final answer
    x = 164,642.55

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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.