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Finding the Fourth Proportional to 102,228.80, 153,343.20 and 32,115.20

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Solution

The fourth proportional to 102,228.80, 153,343.20 and 32,115.20 is: 48,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,228.80 : 153,343.20 = 32,115.20 : x
  2. Step 2: Convert to fraction form
    102,228.80/153,343.20 = 32,115.20/x
  3. Step 3: Cross multiply
    102,228.80x = 153,343.20 × 32,115.20
  4. Step 4: Simplify right side
    102,228.80x = 4,924,647,536.64
  5. Step 5: Solve for x
    x = 4,924,647,536.64/102,228.80
  6. Step 6: Final answer
    x = 48,172.80

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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.