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Finding the Fourth Proportional to 117,855.36, 176,782.10 and 78,052.50

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Solution

The fourth proportional to 117,855.36, 176,782.10 and 78,052.50 is: 117,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,855.36 : 176,782.10 = 78,052.50 : x
  2. Step 2: Convert to fraction form
    117,855.36/176,782.10 = 78,052.50/x
  3. Step 3: Cross multiply
    117,855.36x = 176,782.10 × 78,052.50
  4. Step 4: Simplify right side
    117,855.36x = 13,798,284,469.99
  5. Step 5: Solve for x
    x = 13,798,284,469.99/117,855.36
  6. Step 6: Final answer
    x = 117,078.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.