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Finding the Fourth Proportional to 191,046.75, 286,176.26 and 111,921.09

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Solution

The fourth proportional to 191,046.75, 286,176.26 and 111,921.09 is: 167,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,046.75 : 286,176.26 = 111,921.09 : x
  2. Step 2: Convert to fraction form
    191,046.75/286,176.26 = 111,921.09/x
  3. Step 3: Cross multiply
    191,046.75x = 286,176.26 × 111,921.09
  4. Step 4: Simplify right side
    191,046.75x = 32,029,158,391.72
  5. Step 5: Solve for x
    x = 32,029,158,391.72/191,046.75
  6. Step 6: Final answer
    x = 167,650.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.