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Finding the Fourth Proportional to 189,265.36, 283,755.48 and 114,369.52

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Solution

The fourth proportional to 189,265.36, 283,755.48 and 114,369.52 is: 171,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,265.36 : 283,755.48 = 114,369.52 : x
  2. Step 2: Convert to fraction form
    189,265.36/283,755.48 = 114,369.52/x
  3. Step 3: Cross multiply
    189,265.36x = 283,755.48 × 114,369.52
  4. Step 4: Simplify right side
    189,265.36x = 32,452,978,044.97
  5. Step 5: Solve for x
    x = 32,452,978,044.97/189,265.36
  6. Step 6: Final answer
    x = 171,468.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.