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Finding the Fourth Proportional to 189,066.91, 260,917.80 and 104,189.44

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Solution

The fourth proportional to 189,066.91, 260,917.80 and 104,189.44 is: 143,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066.91 : 260,917.80 = 104,189.44 : x
  2. Step 2: Convert to fraction form
    189,066.91/260,917.80 = 104,189.44/x
  3. Step 3: Cross multiply
    189,066.91x = 260,917.80 × 104,189.44
  4. Step 4: Simplify right side
    189,066.91x = 27,184,879,468.03
  5. Step 5: Solve for x
    x = 27,184,879,468.03/189,066.91
  6. Step 6: Final answer
    x = 143,784.44

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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.