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Finding the Fourth Proportional to 77,211.02, 105,578.27 and 77,211.02

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Solution

The fourth proportional to 77,211.02, 105,578.27 and 77,211.02 is: 105,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.02 : 105,578.27 = 77,211.02 : x
  2. Step 2: Convert to fraction form
    77,211.02/105,578.27 = 77,211.02/x
  3. Step 3: Cross multiply
    77,211.02x = 105,578.27 × 77,211.02
  4. Step 4: Simplify right side
    77,211.02x = 8,151,805,002.59
  5. Step 5: Solve for x
    x = 8,151,805,002.59/77,211.02
  6. Step 6: Final answer
    x = 105,578.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.