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Finding the Fourth Proportional to 278,062.40, 383,728.08 and 150,740

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Solution

The fourth proportional to 278,062.40, 383,728.08 and 150,740 is: 208,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,062.40 : 383,728.08 = 150,740 : x
  2. Step 2: Convert to fraction form
    278,062.40/383,728.08 = 150,740/x
  3. Step 3: Cross multiply
    278,062.40x = 383,728.08 × 150,740
  4. Step 4: Simplify right side
    278,062.40x = 57,843,170,779.20
  5. Step 5: Solve for x
    x = 57,843,170,779.20/278,062.40
  6. Step 6: Final answer
    x = 208,022.27

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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.