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Finding the Fourth Proportional to 201,830.60, 302,745.90 and 108,288.20

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Solution

The fourth proportional to 201,830.60, 302,745.90 and 108,288.20 is: 162,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830.60 : 302,745.90 = 108,288.20 : x
  2. Step 2: Convert to fraction form
    201,830.60/302,745.90 = 108,288.20/x
  3. Step 3: Cross multiply
    201,830.60x = 302,745.90 × 108,288.20
  4. Step 4: Simplify right side
    201,830.60x = 32,783,808,568.38
  5. Step 5: Solve for x
    x = 32,783,808,568.38/201,830.60
  6. Step 6: Final answer
    x = 162,432.30

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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.