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Finding the Fourth Proportional to 189,066, 283,645.08 and 57,738

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Solution

The fourth proportional to 189,066, 283,645.08 and 57,738 is: 86,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066 : 283,645.08 = 57,738 : x
  2. Step 2: Convert to fraction form
    189,066/283,645.08 = 57,738/x
  3. Step 3: Cross multiply
    189,066x = 283,645.08 × 57,738
  4. Step 4: Simplify right side
    189,066x = 16,377,099,629.04
  5. Step 5: Solve for x
    x = 16,377,099,629.04/189,066
  6. Step 6: Final answer
    x = 86,621.07

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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.