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Finding the Fourth Proportional to 197,314.66, 295,922.78 and 77,395.98

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Solution

The fourth proportional to 197,314.66, 295,922.78 and 77,395.98 is: 116,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,314.66 : 295,922.78 = 77,395.98 : x
  2. Step 2: Convert to fraction form
    197,314.66/295,922.78 = 77,395.98/x
  3. Step 3: Cross multiply
    197,314.66x = 295,922.78 × 77,395.98
  4. Step 4: Simplify right side
    197,314.66x = 22,903,233,562.42
  5. Step 5: Solve for x
    x = 22,903,233,562.42/197,314.66
  6. Step 6: Final answer
    x = 116,074.67

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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.