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Finding the Fourth Proportional to 105,846.60, 158,640.30 and 46,619.40

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Solution

The fourth proportional to 105,846.60, 158,640.30 and 46,619.40 is: 69,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846.60 : 158,640.30 = 46,619.40 : x
  2. Step 2: Convert to fraction form
    105,846.60/158,640.30 = 46,619.40/x
  3. Step 3: Cross multiply
    105,846.60x = 158,640.30 × 46,619.40
  4. Step 4: Simplify right side
    105,846.60x = 7,395,715,601.82
  5. Step 5: Solve for x
    x = 7,395,715,601.82/105,846.60
  6. Step 6: Final answer
    x = 69,872.02

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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.