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Finding the Fourth Proportional to 189,084.80, 260,924.64 and 104,201.84

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Solution

The fourth proportional to 189,084.80, 260,924.64 and 104,201.84 is: 143,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084.80 : 260,924.64 = 104,201.84 : x
  2. Step 2: Convert to fraction form
    189,084.80/260,924.64 = 104,201.84/x
  3. Step 3: Cross multiply
    189,084.80x = 260,924.64 × 104,201.84
  4. Step 4: Simplify right side
    189,084.80x = 27,188,827,589.34
  5. Step 5: Solve for x
    x = 27,188,827,589.34/189,084.80
  6. Step 6: Final answer
    x = 143,791.71

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1.5x scale

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.