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Finding the Fourth Proportional to 200,716.36, 301,074.54 and 67,585.47

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Solution

The fourth proportional to 200,716.36, 301,074.54 and 67,585.47 is: 101,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,716.36 : 301,074.54 = 67,585.47 : x
  2. Step 2: Convert to fraction form
    200,716.36/301,074.54 = 67,585.47/x
  3. Step 3: Cross multiply
    200,716.36x = 301,074.54 × 67,585.47
  4. Step 4: Simplify right side
    200,716.36x = 20,348,264,290.93
  5. Step 5: Solve for x
    x = 20,348,264,290.93/200,716.36
  6. Step 6: Final answer
    x = 101,378.21

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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.