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Finding the Fourth Proportional to 202,033.20, 302,466.60 and 178,705.20

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Solution

The fourth proportional to 202,033.20, 302,466.60 and 178,705.20 is: 267,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,033.20 : 302,466.60 = 178,705.20 : x
  2. Step 2: Convert to fraction form
    202,033.20/302,466.60 = 178,705.20/x
  3. Step 3: Cross multiply
    202,033.20x = 302,466.60 × 178,705.20
  4. Step 4: Simplify right side
    202,033.20x = 54,052,354,246.32
  5. Step 5: Solve for x
    x = 54,052,354,246.32/202,033.20
  6. Step 6: Final answer
    x = 267,541.94

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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.