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Finding the Fourth Proportional to 104,419.88, 144,096.90 and 59,705

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Solution

The fourth proportional to 104,419.88, 144,096.90 and 59,705 is: 82,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,419.88 : 144,096.90 = 59,705 : x
  2. Step 2: Convert to fraction form
    104,419.88/144,096.90 = 59,705/x
  3. Step 3: Cross multiply
    104,419.88x = 144,096.90 × 59,705
  4. Step 4: Simplify right side
    104,419.88x = 8,603,305,414.50
  5. Step 5: Solve for x
    x = 8,603,305,414.50/104,419.88
  6. Step 6: Final answer
    x = 82,391.45

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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.