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Finding the Fourth Proportional to 189,556.64, 284,194.51 and 89,600.03

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Solution

The fourth proportional to 189,556.64, 284,194.51 and 89,600.03 is: 134,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,556.64 : 284,194.51 = 89,600.03 : x
  2. Step 2: Convert to fraction form
    189,556.64/284,194.51 = 89,600.03/x
  3. Step 3: Cross multiply
    189,556.64x = 284,194.51 × 89,600.03
  4. Step 4: Simplify right side
    189,556.64x = 25,463,837,108.32
  5. Step 5: Solve for x
    x = 25,463,837,108.32/189,556.64
  6. Step 6: Final answer
    x = 134,333.66

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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.