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Finding the Fourth Proportional to 255,936, 383,145.57 and 189,673.41

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Solution

The fourth proportional to 255,936, 383,145.57 and 189,673.41 is: 283,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,936 : 383,145.57 = 189,673.41 : x
  2. Step 2: Convert to fraction form
    255,936/383,145.57 = 189,673.41/x
  3. Step 3: Cross multiply
    255,936x = 383,145.57 × 189,673.41
  4. Step 4: Simplify right side
    255,936x = 72,672,526,788.29
  5. Step 5: Solve for x
    x = 72,672,526,788.29/255,936
  6. Step 6: Final answer
    x = 283,948.04

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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.