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Finding the Fourth Proportional to 191,682.54, 264,522.97 and 111,157.86

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Solution

The fourth proportional to 191,682.54, 264,522.97 and 111,157.86 is: 153,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,682.54 : 264,522.97 = 111,157.86 : x
  2. Step 2: Convert to fraction form
    191,682.54/264,522.97 = 111,157.86/x
  3. Step 3: Cross multiply
    191,682.54x = 264,522.97 × 111,157.86
  4. Step 4: Simplify right side
    191,682.54x = 29,403,807,266.04
  5. Step 5: Solve for x
    x = 29,403,807,266.04/191,682.54
  6. Step 6: Final answer
    x = 153,398.46

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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.