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Finding the Fourth Proportional to 277,845.12, 416,845.44 and 111,749.76

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Solution

The fourth proportional to 277,845.12, 416,845.44 and 111,749.76 is: 167,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,845.12 : 416,845.44 = 111,749.76 : x
  2. Step 2: Convert to fraction form
    277,845.12/416,845.44 = 111,749.76/x
  3. Step 3: Cross multiply
    277,845.12x = 416,845.44 × 111,749.76
  4. Step 4: Simplify right side
    277,845.12x = 46,582,377,877.09
  5. Step 5: Solve for x
    x = 46,582,377,877.09/277,845.12
  6. Step 6: Final answer
    x = 167,655.92

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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.