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Finding the Fourth Proportional to 119,211.75, 178,899.64 and 49,091.06

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Solution

The fourth proportional to 119,211.75, 178,899.64 and 49,091.06 is: 73,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,211.75 : 178,899.64 = 49,091.06 : x
  2. Step 2: Convert to fraction form
    119,211.75/178,899.64 = 49,091.06/x
  3. Step 3: Cross multiply
    119,211.75x = 178,899.64 × 49,091.06
  4. Step 4: Simplify right side
    119,211.75x = 8,782,373,285.74
  5. Step 5: Solve for x
    x = 8,782,373,285.74/119,211.75
  6. Step 6: Final answer
    x = 73,670.37

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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.