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Finding the Fourth Proportional to 191,773, 264,647.96 and 106,895.44

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Solution

The fourth proportional to 191,773, 264,647.96 and 106,895.44 is: 147,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,773 : 264,647.96 = 106,895.44 : x
  2. Step 2: Convert to fraction form
    191,773/264,647.96 = 106,895.44/x
  3. Step 3: Cross multiply
    191,773x = 264,647.96 × 106,895.44
  4. Step 4: Simplify right side
    191,773x = 28,289,660,129.30
  5. Step 5: Solve for x
    x = 28,289,660,129.30/191,773
  6. Step 6: Final answer
    x = 147,516.39

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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.