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Finding the Fourth Proportional to 105,738.78, 145,905.99 and 60,419.70

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Solution

The fourth proportional to 105,738.78, 145,905.99 and 60,419.70 is: 83,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738.78 : 145,905.99 = 60,419.70 : x
  2. Step 2: Convert to fraction form
    105,738.78/145,905.99 = 60,419.70/x
  3. Step 3: Cross multiply
    105,738.78x = 145,905.99 × 60,419.70
  4. Step 4: Simplify right side
    105,738.78x = 8,815,596,144.00
  5. Step 5: Solve for x
    x = 8,815,596,144.00/105,738.78
  6. Step 6: Final answer
    x = 83,371.46

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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.