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Finding the Fourth Proportional to 189,894.38, 262,043.62 and 103,836.26

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Solution

The fourth proportional to 189,894.38, 262,043.62 and 103,836.26 is: 143,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,894.38 : 262,043.62 = 103,836.26 : x
  2. Step 2: Convert to fraction form
    189,894.38/262,043.62 = 103,836.26/x
  3. Step 3: Cross multiply
    189,894.38x = 262,043.62 × 103,836.26
  4. Step 4: Simplify right side
    189,894.38x = 27,209,629,853.18
  5. Step 5: Solve for x
    x = 27,209,629,853.18/189,894.38
  6. Step 6: Final answer
    x = 143,288.24

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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.