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Finding the Fourth Proportional to 200,496.16, 276,053.52 and 170,221.60

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Solution

The fourth proportional to 200,496.16, 276,053.52 and 170,221.60 is: 234,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496.16 : 276,053.52 = 170,221.60 : x
  2. Step 2: Convert to fraction form
    200,496.16/276,053.52 = 170,221.60/x
  3. Step 3: Cross multiply
    200,496.16x = 276,053.52 × 170,221.60
  4. Step 4: Simplify right side
    200,496.16x = 46,990,271,860.03
  5. Step 5: Solve for x
    x = 46,990,271,860.03/200,496.16
  6. Step 6: Final answer
    x = 234,369.93

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