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Finding the Fourth Proportional to 102,931.20, 154,396.80 and 29,059.20

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Solution

The fourth proportional to 102,931.20, 154,396.80 and 29,059.20 is: 43,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,931.20 : 154,396.80 = 29,059.20 : x
  2. Step 2: Convert to fraction form
    102,931.20/154,396.80 = 29,059.20/x
  3. Step 3: Cross multiply
    102,931.20x = 154,396.80 × 29,059.20
  4. Step 4: Simplify right side
    102,931.20x = 4,486,647,490.56
  5. Step 5: Solve for x
    x = 4,486,647,490.56/102,931.20
  6. Step 6: Final answer
    x = 43,588.80

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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.