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Finding the Fourth Proportional to 191,919.53, 264,861.93 and 111,347.09

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Solution

The fourth proportional to 191,919.53, 264,861.93 and 111,347.09 is: 153,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,919.53 : 264,861.93 = 111,347.09 : x
  2. Step 2: Convert to fraction form
    191,919.53/264,861.93 = 111,347.09/x
  3. Step 3: Cross multiply
    191,919.53x = 264,861.93 × 111,347.09
  4. Step 4: Simplify right side
    191,919.53x = 29,491,605,157.28
  5. Step 5: Solve for x
    x = 29,491,605,157.28/191,919.53
  6. Step 6: Final answer
    x = 153,666.51

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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.