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Finding the Fourth Proportional to 160,494, 240,741 and 49,686

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Solution

The fourth proportional to 160,494, 240,741 and 49,686 is: 74,529

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,494 : 240,741 = 49,686 : x
  2. Step 2: Convert to fraction form
    160,494/240,741 = 49,686/x
  3. Step 3: Cross multiply
    160,494x = 240,741 × 49,686
  4. Step 4: Simplify right side
    160,494x = 11,961,457,326
  5. Step 5: Solve for x
    x = 11,961,457,326/160,494
  6. Step 6: Final answer
    x = 74,529

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.