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Finding the Fourth Proportional to 175,771.62, 263,657.43 and 42,649.74

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Solution

The fourth proportional to 175,771.62, 263,657.43 and 42,649.74 is: 63,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,771.62 : 263,657.43 = 42,649.74 : x
  2. Step 2: Convert to fraction form
    175,771.62/263,657.43 = 42,649.74/x
  3. Step 3: Cross multiply
    175,771.62x = 263,657.43 × 42,649.74
  4. Step 4: Simplify right side
    175,771.62x = 11,244,920,838.57
  5. Step 5: Solve for x
    x = 11,244,920,838.57/175,771.62
  6. Step 6: Final answer
    x = 63,974.61

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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.