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Finding the Fourth Proportional to 191,649.30, 264,487.61 and 105,608.14

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Solution

The fourth proportional to 191,649.30, 264,487.61 and 105,608.14 is: 145,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,649.30 : 264,487.61 = 105,608.14 : x
  2. Step 2: Convert to fraction form
    191,649.30/264,487.61 = 105,608.14/x
  3. Step 3: Cross multiply
    191,649.30x = 264,487.61 × 105,608.14
  4. Step 4: Simplify right side
    191,649.30x = 27,932,044,147.95
  5. Step 5: Solve for x
    x = 27,932,044,147.95/191,649.30
  6. Step 6: Final answer
    x = 145,745.61

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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.