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Finding the Fourth Proportional to 117,398.44, 175,794.72 and 77,831.56

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Solution

The fourth proportional to 117,398.44, 175,794.72 and 77,831.56 is: 116,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,398.44 : 175,794.72 = 77,831.56 : x
  2. Step 2: Convert to fraction form
    117,398.44/175,794.72 = 77,831.56/x
  3. Step 3: Cross multiply
    117,398.44x = 175,794.72 × 77,831.56
  4. Step 4: Simplify right side
    117,398.44x = 13,682,377,297.36
  5. Step 5: Solve for x
    x = 13,682,377,297.36/117,398.44
  6. Step 6: Final answer
    x = 116,546.50

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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.