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Finding the Fourth Proportional to 300,764, 451,146 and 90,402.14

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Solution

The fourth proportional to 300,764, 451,146 and 90,402.14 is: 135,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,764 : 451,146 = 90,402.14 : x
  2. Step 2: Convert to fraction form
    300,764/451,146 = 90,402.14/x
  3. Step 3: Cross multiply
    300,764x = 451,146 × 90,402.14
  4. Step 4: Simplify right side
    300,764x = 40,784,563,852.44
  5. Step 5: Solve for x
    x = 40,784,563,852.44/300,764
  6. Step 6: Final answer
    x = 135,603.21

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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.