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Finding the Fourth Proportional to 189,704.36, 282,827.53 and 184,857.32

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Solution

The fourth proportional to 189,704.36, 282,827.53 and 184,857.32 is: 275,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704.36 : 282,827.53 = 184,857.32 : x
  2. Step 2: Convert to fraction form
    189,704.36/282,827.53 = 184,857.32/x
  3. Step 3: Cross multiply
    189,704.36x = 282,827.53 × 184,857.32
  4. Step 4: Simplify right side
    189,704.36x = 52,282,739,218.02
  5. Step 5: Solve for x
    x = 52,282,739,218.02/189,704.36
  6. Step 6: Final answer
    x = 275,601.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.