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Finding the Fourth Proportional to 102,967.20, 154,450.80 and 100,051.20

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Solution

The fourth proportional to 102,967.20, 154,450.80 and 100,051.20 is: 150,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,967.20 : 154,450.80 = 100,051.20 : x
  2. Step 2: Convert to fraction form
    102,967.20/154,450.80 = 100,051.20/x
  3. Step 3: Cross multiply
    102,967.20x = 154,450.80 × 100,051.20
  4. Step 4: Simplify right side
    102,967.20x = 15,452,987,880.96
  5. Step 5: Solve for x
    x = 15,452,987,880.96/102,967.20
  6. Step 6: Final answer
    x = 150,076.80

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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.