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Finding the Fourth Proportional to 105,901.40, 158,662.56 and 70,734.44

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Solution

The fourth proportional to 105,901.40, 158,662.56 and 70,734.44 is: 105,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,901.40 : 158,662.56 = 70,734.44 : x
  2. Step 2: Convert to fraction form
    105,901.40/158,662.56 = 70,734.44/x
  3. Step 3: Cross multiply
    105,901.40x = 158,662.56 × 70,734.44
  4. Step 4: Simplify right side
    105,901.40x = 11,222,907,330.57
  5. Step 5: Solve for x
    x = 11,222,907,330.57/105,901.40
  6. Step 6: Final answer
    x = 105,975.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.