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Finding the Fourth Proportional to 190,714.52, 263,198.33 and 105,831.57

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Solution

The fourth proportional to 190,714.52, 263,198.33 and 105,831.57 is: 146,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,714.52 : 263,198.33 = 105,831.57 : x
  2. Step 2: Convert to fraction form
    190,714.52/263,198.33 = 105,831.57/x
  3. Step 3: Cross multiply
    190,714.52x = 263,198.33 × 105,831.57
  4. Step 4: Simplify right side
    190,714.52x = 27,854,691,956.12
  5. Step 5: Solve for x
    x = 27,854,691,956.12/190,714.52
  6. Step 6: Final answer
    x = 146,054.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.