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Finding the Fourth Proportional to 189,115.31, 260,980.36 and 104,232.37

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Solution

The fourth proportional to 189,115.31, 260,980.36 and 104,232.37 is: 143,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,115.31 : 260,980.36 = 104,232.37 : x
  2. Step 2: Convert to fraction form
    189,115.31/260,980.36 = 104,232.37/x
  3. Step 3: Cross multiply
    189,115.31x = 260,980.36 × 104,232.37
  4. Step 4: Simplify right side
    189,115.31x = 27,202,601,446.25
  5. Step 5: Solve for x
    x = 27,202,601,446.25/189,115.31
  6. Step 6: Final answer
    x = 143,841.35

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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.