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Finding the Fourth Proportional to 194,614.13, 268,567.50 and 105,190.13

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Solution

The fourth proportional to 194,614.13, 268,567.50 and 105,190.13 is: 145,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614.13 : 268,567.50 = 105,190.13 : x
  2. Step 2: Convert to fraction form
    194,614.13/268,567.50 = 105,190.13/x
  3. Step 3: Cross multiply
    194,614.13x = 268,567.50 × 105,190.13
  4. Step 4: Simplify right side
    194,614.13x = 28,250,650,238.78
  5. Step 5: Solve for x
    x = 28,250,650,238.78/194,614.13
  6. Step 6: Final answer
    x = 145,162.38

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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.