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Finding the Fourth Proportional to 118,896.31, 178,349.73 and 48,769.75

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Solution

The fourth proportional to 118,896.31, 178,349.73 and 48,769.75 is: 73,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,896.31 : 178,349.73 = 48,769.75 : x
  2. Step 2: Convert to fraction form
    118,896.31/178,349.73 = 48,769.75/x
  3. Step 3: Cross multiply
    118,896.31x = 178,349.73 × 48,769.75
  4. Step 4: Simplify right side
    118,896.31x = 8,698,071,744.67
  5. Step 5: Solve for x
    x = 8,698,071,744.67/118,896.31
  6. Step 6: Final answer
    x = 73,156.78

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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.