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Finding the Fourth Proportional to 102,915.20, 154,372.80 and 29,043.20

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Solution

The fourth proportional to 102,915.20, 154,372.80 and 29,043.20 is: 43,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915.20 : 154,372.80 = 29,043.20 : x
  2. Step 2: Convert to fraction form
    102,915.20/154,372.80 = 29,043.20/x
  3. Step 3: Cross multiply
    102,915.20x = 154,372.80 × 29,043.20
  4. Step 4: Simplify right side
    102,915.20x = 4,483,480,104.96
  5. Step 5: Solve for x
    x = 4,483,480,104.96/102,915.20
  6. Step 6: Final answer
    x = 43,564.80

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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.