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Finding the Fourth Proportional to 155,874.92, 233,977.74 and 126,645.56

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Solution

The fourth proportional to 155,874.92, 233,977.74 and 126,645.56 is: 190,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,874.92 : 233,977.74 = 126,645.56 : x
  2. Step 2: Convert to fraction form
    155,874.92/233,977.74 = 126,645.56/x
  3. Step 3: Cross multiply
    155,874.92x = 233,977.74 × 126,645.56
  4. Step 4: Simplify right side
    155,874.92x = 29,632,241,909.83
  5. Step 5: Solve for x
    x = 29,632,241,909.83/155,874.92
  6. Step 6: Final answer
    x = 190,102.69

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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.