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Finding the Fourth Proportional to 194,769, 268,781.24 and 105,345

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Solution

The fourth proportional to 194,769, 268,781.24 and 105,345 is: 145,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,769 : 268,781.24 = 105,345 : x
  2. Step 2: Convert to fraction form
    194,769/268,781.24 = 105,345/x
  3. Step 3: Cross multiply
    194,769x = 268,781.24 × 105,345
  4. Step 4: Simplify right side
    194,769x = 28,314,759,727.80
  5. Step 5: Solve for x
    x = 28,314,759,727.80/194,769
  6. Step 6: Final answer
    x = 145,376.11

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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.