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Finding the Fourth Proportional to 116,039.36, 160,133.76 and 65,738.24

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Solution

The fourth proportional to 116,039.36, 160,133.76 and 65,738.24 is: 90,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,039.36 : 160,133.76 = 65,738.24 : x
  2. Step 2: Convert to fraction form
    116,039.36/160,133.76 = 65,738.24/x
  3. Step 3: Cross multiply
    116,039.36x = 160,133.76 × 65,738.24
  4. Step 4: Simplify right side
    116,039.36x = 10,526,911,546.98
  5. Step 5: Solve for x
    x = 10,526,911,546.98/116,039.36
  6. Step 6: Final answer
    x = 90,718.46

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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.