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Finding the Fourth Proportional to 194,860.59, 268,908.38 and 105,436.59

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Solution

The fourth proportional to 194,860.59, 268,908.38 and 105,436.59 is: 145,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,860.59 : 268,908.38 = 105,436.59 : x
  2. Step 2: Convert to fraction form
    194,860.59/268,908.38 = 105,436.59/x
  3. Step 3: Cross multiply
    194,860.59x = 268,908.38 × 105,436.59
  4. Step 4: Simplify right side
    194,860.59x = 28,352,782,609.62
  5. Step 5: Solve for x
    x = 28,352,782,609.62/194,860.59
  6. Step 6: Final answer
    x = 145,502.91

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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.