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Finding the Fourth Proportional to 191,596.20, 264,410.91 and 106,713.27

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Solution

The fourth proportional to 191,596.20, 264,410.91 and 106,713.27 is: 147,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,596.20 : 264,410.91 = 106,713.27 : x
  2. Step 2: Convert to fraction form
    191,596.20/264,410.91 = 106,713.27/x
  3. Step 3: Cross multiply
    191,596.20x = 264,410.91 × 106,713.27
  4. Step 4: Simplify right side
    191,596.20x = 28,216,152,829.78
  5. Step 5: Solve for x
    x = 28,216,152,829.78/191,596.20
  6. Step 6: Final answer
    x = 147,268.85

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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.