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Finding the Fourth Proportional to 200,345.75, 300,605.48 and 110,278.41

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Solution

The fourth proportional to 200,345.75, 300,605.48 and 110,278.41 is: 165,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,345.75 : 300,605.48 = 110,278.41 : x
  2. Step 2: Convert to fraction form
    200,345.75/300,605.48 = 110,278.41/x
  3. Step 3: Cross multiply
    200,345.75x = 300,605.48 × 110,278.41
  4. Step 4: Simplify right side
    200,345.75x = 33,150,294,797.47
  5. Step 5: Solve for x
    x = 33,150,294,797.47/200,345.75
  6. Step 6: Final answer
    x = 165,465.42

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1.5x scale

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.