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Finding the Fourth Proportional to 89,076, 122,943.60 and 81,894.54

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Solution

The fourth proportional to 89,076, 122,943.60 and 81,894.54 is: 113,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,076 : 122,943.60 = 81,894.54 : x
  2. Step 2: Convert to fraction form
    89,076/122,943.60 = 81,894.54/x
  3. Step 3: Cross multiply
    89,076x = 122,943.60 × 81,894.54
  4. Step 4: Simplify right side
    89,076x = 10,068,409,567.94
  5. Step 5: Solve for x
    x = 10,068,409,567.94/89,076
  6. Step 6: Final answer
    x = 113,031.68

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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.