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Finding the Fourth Proportional to 194,872.98, 268,924.29 and 105,448.98

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Solution

The fourth proportional to 194,872.98, 268,924.29 and 105,448.98 is: 145,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,872.98 : 268,924.29 = 105,448.98 : x
  2. Step 2: Convert to fraction form
    194,872.98/268,924.29 = 105,448.98/x
  3. Step 3: Cross multiply
    194,872.98x = 268,924.29 × 105,448.98
  4. Step 4: Simplify right side
    194,872.98x = 28,357,792,077.72
  5. Step 5: Solve for x
    x = 28,357,792,077.72/194,872.98
  6. Step 6: Final answer
    x = 145,519.36

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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.