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Finding the Fourth Proportional to 189,383.76, 284,077.84 and 56,260.80

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Solution

The fourth proportional to 189,383.76, 284,077.84 and 56,260.80 is: 84,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383.76 : 284,077.84 = 56,260.80 : x
  2. Step 2: Convert to fraction form
    189,383.76/284,077.84 = 56,260.80/x
  3. Step 3: Cross multiply
    189,383.76x = 284,077.84 × 56,260.80
  4. Step 4: Simplify right side
    189,383.76x = 15,982,446,540.67
  5. Step 5: Solve for x
    x = 15,982,446,540.67/189,383.76
  6. Step 6: Final answer
    x = 84,391.85

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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.