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Finding the Fourth Proportional to 191,690.68, 264,534.22 and 111,166

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Solution

The fourth proportional to 191,690.68, 264,534.22 and 111,166 is: 153,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,690.68 : 264,534.22 = 111,166 : x
  2. Step 2: Convert to fraction form
    191,690.68/264,534.22 = 111,166/x
  3. Step 3: Cross multiply
    191,690.68x = 264,534.22 × 111,166
  4. Step 4: Simplify right side
    191,690.68x = 29,407,211,100.52
  5. Step 5: Solve for x
    x = 29,407,211,100.52/191,690.68
  6. Step 6: Final answer
    x = 153,409.71

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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.