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Finding the Fourth Proportional to 189,771.57, 284,647.64 and 56,652.93

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Solution

The fourth proportional to 189,771.57, 284,647.64 and 56,652.93 is: 84,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,771.57 : 284,647.64 = 56,652.93 : x
  2. Step 2: Convert to fraction form
    189,771.57/284,647.64 = 56,652.93/x
  3. Step 3: Cross multiply
    189,771.57x = 284,647.64 × 56,652.93
  4. Step 4: Simplify right side
    189,771.57x = 16,126,122,540.32
  5. Step 5: Solve for x
    x = 16,126,122,540.32/189,771.57
  6. Step 6: Final answer
    x = 84,976.49

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1.5x scale

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.