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Finding the Fourth Proportional to 191,993.40, 264,965.76 and 105,969.24

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Solution

The fourth proportional to 191,993.40, 264,965.76 and 105,969.24 is: 146,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,993.40 : 264,965.76 = 105,969.24 : x
  2. Step 2: Convert to fraction form
    191,993.40/264,965.76 = 105,969.24/x
  3. Step 3: Cross multiply
    191,993.40x = 264,965.76 × 105,969.24
  4. Step 4: Simplify right side
    191,993.40x = 28,078,220,213.22
  5. Step 5: Solve for x
    x = 28,078,220,213.22/191,993.40
  6. Step 6: Final answer
    x = 146,245.76

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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.