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Finding the Fourth Proportional to 189,648.73, 284,382.78 and 56,482.30

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Solution

The fourth proportional to 189,648.73, 284,382.78 and 56,482.30 is: 84,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648.73 : 284,382.78 = 56,482.30 : x
  2. Step 2: Convert to fraction form
    189,648.73/284,382.78 = 56,482.30/x
  3. Step 3: Cross multiply
    189,648.73x = 284,382.78 × 56,482.30
  4. Step 4: Simplify right side
    189,648.73x = 16,062,593,494.79
  5. Step 5: Solve for x
    x = 16,062,593,494.79/189,648.73
  6. Step 6: Final answer
    x = 84,696.55

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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.