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Finding the Fourth Proportional to 263,874.70, 395,802.33 and 114,152.68

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Solution

The fourth proportional to 263,874.70, 395,802.33 and 114,152.68 is: 171,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,874.70 : 395,802.33 = 114,152.68 : x
  2. Step 2: Convert to fraction form
    263,874.70/395,802.33 = 114,152.68/x
  3. Step 3: Cross multiply
    263,874.70x = 395,802.33 × 114,152.68
  4. Step 4: Simplify right side
    263,874.70x = 45,181,896,719.74
  5. Step 5: Solve for x
    x = 45,181,896,719.74/263,874.70
  6. Step 6: Final answer
    x = 171,224.82

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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.