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Finding the Fourth Proportional to 77,198.56, 106,538.71 and 43,206.35

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Solution

The fourth proportional to 77,198.56, 106,538.71 and 43,206.35 is: 59,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198.56 : 106,538.71 = 43,206.35 : x
  2. Step 2: Convert to fraction form
    77,198.56/106,538.71 = 43,206.35/x
  3. Step 3: Cross multiply
    77,198.56x = 106,538.71 × 43,206.35
  4. Step 4: Simplify right side
    77,198.56x = 4,603,148,792.81
  5. Step 5: Solve for x
    x = 4,603,148,792.81/77,198.56
  6. Step 6: Final answer
    x = 59,627.39

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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.