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Finding the Fourth Proportional to 189,905.40, 262,059.67 and 103,847.63

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Solution

The fourth proportional to 189,905.40, 262,059.67 and 103,847.63 is: 143,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,905.40 : 262,059.67 = 103,847.63 : x
  2. Step 2: Convert to fraction form
    189,905.40/262,059.67 = 103,847.63/x
  3. Step 3: Cross multiply
    189,905.40x = 262,059.67 × 103,847.63
  4. Step 4: Simplify right side
    189,905.40x = 27,214,275,648.08
  5. Step 5: Solve for x
    x = 27,214,275,648.08/189,905.40
  6. Step 6: Final answer
    x = 143,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.