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Finding the Fourth Proportional to 78,133.88, 117,202.55 and 54,094.50

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Solution

The fourth proportional to 78,133.88, 117,202.55 and 54,094.50 is: 81,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.88 : 117,202.55 = 54,094.50 : x
  2. Step 2: Convert to fraction form
    78,133.88/117,202.55 = 54,094.50/x
  3. Step 3: Cross multiply
    78,133.88x = 117,202.55 × 54,094.50
  4. Step 4: Simplify right side
    78,133.88x = 6,340,013,493.11
  5. Step 5: Solve for x
    x = 6,340,013,493.11/78,133.88
  6. Step 6: Final answer
    x = 81,142.95

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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.