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Finding the Fourth Proportional to 200,610.10, 277,029.21 and 129,114.64

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Solution

The fourth proportional to 200,610.10, 277,029.21 and 129,114.64 is: 178,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,610.10 : 277,029.21 = 129,114.64 : x
  2. Step 2: Convert to fraction form
    200,610.10/277,029.21 = 129,114.64/x
  3. Step 3: Cross multiply
    200,610.10x = 277,029.21 × 129,114.64
  4. Step 4: Simplify right side
    200,610.10x = 35,768,526,718.63
  5. Step 5: Solve for x
    x = 35,768,526,718.63/200,610.10
  6. Step 6: Final answer
    x = 178,298.73

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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.