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Finding the Fourth Proportional to 191,997, 264,955.86 and 107,114.04

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Solution

The fourth proportional to 191,997, 264,955.86 and 107,114.04 is: 147,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,997 : 264,955.86 = 107,114.04 : x
  2. Step 2: Convert to fraction form
    191,997/264,955.86 = 107,114.04/x
  3. Step 3: Cross multiply
    191,997x = 264,955.86 × 107,114.04
  4. Step 4: Simplify right side
    191,997x = 28,380,492,586.27
  5. Step 5: Solve for x
    x = 28,380,492,586.27/191,997
  6. Step 6: Final answer
    x = 147,817.38

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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.