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Finding the Fourth Proportional to 189,804.33, 284,756.04 and 56,684.61

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Solution

The fourth proportional to 189,804.33, 284,756.04 and 56,684.61 is: 85,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,804.33 : 284,756.04 = 56,684.61 : x
  2. Step 2: Convert to fraction form
    189,804.33/284,756.04 = 56,684.61/x
  3. Step 3: Cross multiply
    189,804.33x = 284,756.04 × 56,684.61
  4. Step 4: Simplify right side
    189,804.33x = 16,141,285,072.54
  5. Step 5: Solve for x
    x = 16,141,285,072.54/189,804.33
  6. Step 6: Final answer
    x = 85,041.71

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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.