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Finding the Fourth Proportional to 189,029.23, 260,866.25 and 108,471.49

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Solution

The fourth proportional to 189,029.23, 260,866.25 and 108,471.49 is: 149,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,029.23 : 260,866.25 = 108,471.49 : x
  2. Step 2: Convert to fraction form
    189,029.23/260,866.25 = 108,471.49/x
  3. Step 3: Cross multiply
    189,029.23x = 260,866.25 × 108,471.49
  4. Step 4: Simplify right side
    189,029.23x = 28,296,550,828.21
  5. Step 5: Solve for x
    x = 28,296,550,828.21/189,029.23
  6. Step 6: Final answer
    x = 149,694.05

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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.