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Finding the Fourth Proportional to 106,970.36, 147,624.54 and 59,228.96

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Solution

The fourth proportional to 106,970.36, 147,624.54 and 59,228.96 is: 81,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970.36 : 147,624.54 = 59,228.96 : x
  2. Step 2: Convert to fraction form
    106,970.36/147,624.54 = 59,228.96/x
  3. Step 3: Cross multiply
    106,970.36x = 147,624.54 × 59,228.96
  4. Step 4: Simplify right side
    106,970.36x = 8,743,647,974.68
  5. Step 5: Solve for x
    x = 8,743,647,974.68/106,970.36
  6. Step 6: Final answer
    x = 81,738.98

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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.