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Finding the Fourth Proportional to 197,771.56, 296,537.74 and 77,684.76

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Solution

The fourth proportional to 197,771.56, 296,537.74 and 77,684.76 is: 116,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,771.56 : 296,537.74 = 77,684.76 : x
  2. Step 2: Convert to fraction form
    197,771.56/296,537.74 = 77,684.76/x
  3. Step 3: Cross multiply
    197,771.56x = 296,537.74 × 77,684.76
  4. Step 4: Simplify right side
    197,771.56x = 23,036,463,162.84
  5. Step 5: Solve for x
    x = 23,036,463,162.84/197,771.56
  6. Step 6: Final answer
    x = 116,480.16

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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.