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Finding the Fourth Proportional to 189,767.27, 284,700.22 and 56,647.55

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Solution

The fourth proportional to 189,767.27, 284,700.22 and 56,647.55 is: 84,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,767.27 : 284,700.22 = 56,647.55 : x
  2. Step 2: Convert to fraction form
    189,767.27/284,700.22 = 56,647.55/x
  3. Step 3: Cross multiply
    189,767.27x = 284,700.22 × 56,647.55
  4. Step 4: Simplify right side
    189,767.27x = 16,127,570,517.59
  5. Step 5: Solve for x
    x = 16,127,570,517.59/189,767.27
  6. Step 6: Final answer
    x = 84,986.05

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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.