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Finding the Fourth Proportional to 300,023.82, 414,137.16 and 172,750.14

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Solution

The fourth proportional to 300,023.82, 414,137.16 and 172,750.14 is: 238,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,023.82 : 414,137.16 = 172,750.14 : x
  2. Step 2: Convert to fraction form
    300,023.82/414,137.16 = 172,750.14/x
  3. Step 3: Cross multiply
    300,023.82x = 414,137.16 × 172,750.14
  4. Step 4: Simplify right side
    300,023.82x = 71,542,252,369.20
  5. Step 5: Solve for x
    x = 71,542,252,369.20/300,023.82
  6. Step 6: Final answer
    x = 238,455.24

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1.5x scale

Why These Related Problems?

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