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Finding the Fourth Proportional to 189,234.70, 283,803.66 and 56,083.90

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Solution

The fourth proportional to 189,234.70, 283,803.66 and 56,083.90 is: 84,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,234.70 : 283,803.66 = 56,083.90 : x
  2. Step 2: Convert to fraction form
    189,234.70/283,803.66 = 56,083.90/x
  3. Step 3: Cross multiply
    189,234.70x = 283,803.66 × 56,083.90
  4. Step 4: Simplify right side
    189,234.70x = 15,916,816,087.07
  5. Step 5: Solve for x
    x = 15,916,816,087.07/189,234.70
  6. Step 6: Final answer
    x = 84,111.51

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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.