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Finding the Fourth Proportional to 189,376.57, 284,108.60 and 56,253.88

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Solution

The fourth proportional to 189,376.57, 284,108.60 and 56,253.88 is: 84,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,376.57 : 284,108.60 = 56,253.88 : x
  2. Step 2: Convert to fraction form
    189,376.57/284,108.60 = 56,253.88/x
  3. Step 3: Cross multiply
    189,376.57x = 284,108.60 × 56,253.88
  4. Step 4: Simplify right side
    189,376.57x = 15,982,211,091.37
  5. Step 5: Solve for x
    x = 15,982,211,091.37/189,376.57
  6. Step 6: Final answer
    x = 84,393.81

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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.