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Finding the Fourth Proportional to 194,768, 268,779.86 and 105,344

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Solution

The fourth proportional to 194,768, 268,779.86 and 105,344 is: 145,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,768 : 268,779.86 = 105,344 : x
  2. Step 2: Convert to fraction form
    194,768/268,779.86 = 105,344/x
  3. Step 3: Cross multiply
    194,768x = 268,779.86 × 105,344
  4. Step 4: Simplify right side
    194,768x = 28,314,345,571.84
  5. Step 5: Solve for x
    x = 28,314,345,571.84/194,768
  6. Step 6: Final answer
    x = 145,374.73

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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.