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Finding the Fourth Proportional to 323,768.20, 485,652.30 and 102,152.20

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Solution

The fourth proportional to 323,768.20, 485,652.30 and 102,152.20 is: 153,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,768.20 : 485,652.30 = 102,152.20 : x
  2. Step 2: Convert to fraction form
    323,768.20/485,652.30 = 102,152.20/x
  3. Step 3: Cross multiply
    323,768.20x = 485,652.30 × 102,152.20
  4. Step 4: Simplify right side
    323,768.20x = 49,610,450,880.06
  5. Step 5: Solve for x
    x = 49,610,450,880.06/323,768.20
  6. Step 6: Final answer
    x = 153,228.30

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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.