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Finding the Fourth Proportional to 278,453.22, 383,975 and 165,254.10

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Solution

The fourth proportional to 278,453.22, 383,975 and 165,254.10 is: 227,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,453.22 : 383,975 = 165,254.10 : x
  2. Step 2: Convert to fraction form
    278,453.22/383,975 = 165,254.10/x
  3. Step 3: Cross multiply
    278,453.22x = 383,975 × 165,254.10
  4. Step 4: Simplify right side
    278,453.22x = 63,453,443,047.50
  5. Step 5: Solve for x
    x = 63,453,443,047.50/278,453.22
  6. Step 6: Final answer
    x = 227,878.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.