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Finding the Fourth Proportional to 189,597.15, 284,395.73 and 49,355.78

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Solution

The fourth proportional to 189,597.15, 284,395.73 and 49,355.78 is: 74,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,597.15 : 284,395.73 = 49,355.78 : x
  2. Step 2: Convert to fraction form
    189,597.15/284,395.73 = 49,355.78/x
  3. Step 3: Cross multiply
    189,597.15x = 284,395.73 × 49,355.78
  4. Step 4: Simplify right side
    189,597.15x = 14,036,571,414.06
  5. Step 5: Solve for x
    x = 14,036,571,414.06/189,597.15
  6. Step 6: Final answer
    x = 74,033.66

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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.