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Finding the Fourth Proportional to 105,738.85, 145,906.17 and 60,419.77

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Solution

The fourth proportional to 105,738.85, 145,906.17 and 60,419.77 is: 83,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738.85 : 145,906.17 = 60,419.77 : x
  2. Step 2: Convert to fraction form
    105,738.85/145,906.17 = 60,419.77/x
  3. Step 3: Cross multiply
    105,738.85x = 145,906.17 × 60,419.77
  4. Step 4: Simplify right side
    105,738.85x = 8,815,616,641.64
  5. Step 5: Solve for x
    x = 8,815,616,641.64/105,738.85
  6. Step 6: Final answer
    x = 83,371.59

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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.