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Finding the Fourth Proportional to 194,872.57, 268,924.95 and 105,448.57

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Solution

The fourth proportional to 194,872.57, 268,924.95 and 105,448.57 is: 145,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,872.57 : 268,924.95 = 105,448.57 : x
  2. Step 2: Convert to fraction form
    194,872.57/268,924.95 = 105,448.57/x
  3. Step 3: Cross multiply
    194,872.57x = 268,924.95 × 105,448.57
  4. Step 4: Simplify right side
    194,872.57x = 28,357,749,542.95
  5. Step 5: Solve for x
    x = 28,357,749,542.95/194,872.57
  6. Step 6: Final answer
    x = 145,519.46

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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.