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Finding the Fourth Proportional to 194,456, 268,349.48 and 105,032

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Solution

The fourth proportional to 194,456, 268,349.48 and 105,032 is: 144,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,456 : 268,349.48 = 105,032 : x
  2. Step 2: Convert to fraction form
    194,456/268,349.48 = 105,032/x
  3. Step 3: Cross multiply
    194,456x = 268,349.48 × 105,032
  4. Step 4: Simplify right side
    194,456x = 28,185,282,583.36
  5. Step 5: Solve for x
    x = 28,185,282,583.36/194,456
  6. Step 6: Final answer
    x = 144,944.27

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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.