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Finding the Fourth Proportional to 189,082.98, 260,933.99 and 104,200.02

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Solution

The fourth proportional to 189,082.98, 260,933.99 and 104,200.02 is: 143,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,082.98 : 260,933.99 = 104,200.02 : x
  2. Step 2: Convert to fraction form
    189,082.98/260,933.99 = 104,200.02/x
  3. Step 3: Cross multiply
    189,082.98x = 260,933.99 × 104,200.02
  4. Step 4: Simplify right side
    189,082.98x = 27,189,326,455.68
  5. Step 5: Solve for x
    x = 27,189,326,455.68/189,082.98
  6. Step 6: Final answer
    x = 143,795.74

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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.