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Finding the Fourth Proportional to 117,159.22, 175,831.80 and 61,015.24

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Solution

The fourth proportional to 117,159.22, 175,831.80 and 61,015.24 is: 91,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,159.22 : 175,831.80 = 61,015.24 : x
  2. Step 2: Convert to fraction form
    117,159.22/175,831.80 = 61,015.24/x
  3. Step 3: Cross multiply
    117,159.22x = 175,831.80 × 61,015.24
  4. Step 4: Simplify right side
    117,159.22x = 10,728,419,476.63
  5. Step 5: Solve for x
    x = 10,728,419,476.63/117,159.22
  6. Step 6: Final answer
    x = 91,571.28

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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.