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Finding the Fourth Proportional to 78,076.66, 107,745.83 and 42,266.67

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Solution

The fourth proportional to 78,076.66, 107,745.83 and 42,266.67 is: 58,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.66 : 107,745.83 = 42,266.67 : x
  2. Step 2: Convert to fraction form
    78,076.66/107,745.83 = 42,266.67/x
  3. Step 3: Cross multiply
    78,076.66x = 107,745.83 × 42,266.67
  4. Step 4: Simplify right side
    78,076.66x = 4,554,057,529.43
  5. Step 5: Solve for x
    x = 4,554,057,529.43/78,076.66
  6. Step 6: Final answer
    x = 58,328.03

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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.