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Finding the Fourth Proportional to 191,469.64, 264,232.76 and 106,592.44

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Solution

The fourth proportional to 191,469.64, 264,232.76 and 106,592.44 is: 147,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,469.64 : 264,232.76 = 106,592.44 : x
  2. Step 2: Convert to fraction form
    191,469.64/264,232.76 = 106,592.44/x
  3. Step 3: Cross multiply
    191,469.64x = 264,232.76 × 106,592.44
  4. Step 4: Simplify right side
    191,469.64x = 28,165,214,616.33
  5. Step 5: Solve for x
    x = 28,165,214,616.33/191,469.64
  6. Step 6: Final answer
    x = 147,100.16

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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.