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Finding the Fourth Proportional to 189,093.79, 260,949.43 and 104,210.85

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Solution

The fourth proportional to 189,093.79, 260,949.43 and 104,210.85 is: 143,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,093.79 : 260,949.43 = 104,210.85 : x
  2. Step 2: Convert to fraction form
    189,093.79/260,949.43 = 104,210.85/x
  3. Step 3: Cross multiply
    189,093.79x = 260,949.43 × 104,210.85
  4. Step 4: Simplify right side
    189,093.79x = 27,193,761,907.32
  5. Step 5: Solve for x
    x = 27,193,761,907.32/189,093.79
  6. Step 6: Final answer
    x = 143,810.97

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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.