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Finding the Fourth Proportional to 200,862.50, 301,083.57 and 67,696.78

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Solution

The fourth proportional to 200,862.50, 301,083.57 and 67,696.78 is: 101,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,862.50 : 301,083.57 = 67,696.78 : x
  2. Step 2: Convert to fraction form
    200,862.50/301,083.57 = 67,696.78/x
  3. Step 3: Cross multiply
    200,862.50x = 301,083.57 × 67,696.78
  4. Step 4: Simplify right side
    200,862.50x = 20,382,387,447.20
  5. Step 5: Solve for x
    x = 20,382,387,447.20/200,862.50
  6. Step 6: Final answer
    x = 101,474.33

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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.