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Finding the Fourth Proportional to 191,659.30, 264,489.74 and 111,133.68

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Solution

The fourth proportional to 191,659.30, 264,489.74 and 111,133.68 is: 153,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,659.30 : 264,489.74 = 111,133.68 : x
  2. Step 2: Convert to fraction form
    191,659.30/264,489.74 = 111,133.68/x
  3. Step 3: Cross multiply
    191,659.30x = 264,489.74 × 111,133.68
  4. Step 4: Simplify right side
    191,659.30x = 29,393,718,128.44
  5. Step 5: Solve for x
    x = 29,393,718,128.44/191,659.30
  6. Step 6: Final answer
    x = 153,364.42

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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.