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Finding the Fourth Proportional to 189,745.66, 261,876.81 and 114,292.54

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Solution

The fourth proportional to 189,745.66, 261,876.81 and 114,292.54 is: 157,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,745.66 : 261,876.81 = 114,292.54 : x
  2. Step 2: Convert to fraction form
    189,745.66/261,876.81 = 114,292.54/x
  3. Step 3: Cross multiply
    189,745.66x = 261,876.81 × 114,292.54
  4. Step 4: Simplify right side
    189,745.66x = 29,930,565,782.00
  5. Step 5: Solve for x
    x = 29,930,565,782.00/189,745.66
  6. Step 6: Final answer
    x = 157,740.45

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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.