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Finding the Fourth Proportional to 255,923, 383,885.58 and 78,416.36

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Solution

The fourth proportional to 255,923, 383,885.58 and 78,416.36 is: 117,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,923 : 383,885.58 = 78,416.36 : x
  2. Step 2: Convert to fraction form
    255,923/383,885.58 = 78,416.36/x
  3. Step 3: Cross multiply
    255,923x = 383,885.58 × 78,416.36
  4. Step 4: Simplify right side
    255,923x = 30,102,909,840.09
  5. Step 5: Solve for x
    x = 30,102,909,840.09/255,923
  6. Step 6: Final answer
    x = 117,624.87

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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.