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Finding the Fourth Proportional to 202,106.20, 302,576.10 and 178,778.20

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Solution

The fourth proportional to 202,106.20, 302,576.10 and 178,778.20 is: 267,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,106.20 : 302,576.10 = 178,778.20 : x
  2. Step 2: Convert to fraction form
    202,106.20/302,576.10 = 178,778.20/x
  3. Step 3: Cross multiply
    202,106.20x = 302,576.10 × 178,778.20
  4. Step 4: Simplify right side
    202,106.20x = 54,094,010,521.02
  5. Step 5: Solve for x
    x = 54,094,010,521.02/202,106.20
  6. Step 6: Final answer
    x = 267,651.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.