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Finding the Fourth Proportional to 189,032.25, 260,865.72 and 104,149.92

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Solution

The fourth proportional to 189,032.25, 260,865.72 and 104,149.92 is: 143,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,032.25 : 260,865.72 = 104,149.92 : x
  2. Step 2: Convert to fraction form
    189,032.25/260,865.72 = 104,149.92/x
  3. Step 3: Cross multiply
    189,032.25x = 260,865.72 × 104,149.92
  4. Step 4: Simplify right side
    189,032.25x = 27,169,143,868.74
  5. Step 5: Solve for x
    x = 27,169,143,868.74/189,032.25
  6. Step 6: Final answer
    x = 143,727.56

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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.