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Finding the Fourth Proportional to 83,222.69, 114,868.67 and 51,373.28

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Solution

The fourth proportional to 83,222.69, 114,868.67 and 51,373.28 is: 70,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.69 : 114,868.67 = 51,373.28 : x
  2. Step 2: Convert to fraction form
    83,222.69/114,868.67 = 51,373.28/x
  3. Step 3: Cross multiply
    83,222.69x = 114,868.67 × 51,373.28
  4. Step 4: Simplify right side
    83,222.69x = 5,901,180,377.44
  5. Step 5: Solve for x
    x = 5,901,180,377.44/83,222.69
  6. Step 6: Final answer
    x = 70,908.32

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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.