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Finding the Fourth Proportional to 227,419.20, 341,128.80 and 109,029.60

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Solution

The fourth proportional to 227,419.20, 341,128.80 and 109,029.60 is: 163,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,419.20 : 341,128.80 = 109,029.60 : x
  2. Step 2: Convert to fraction form
    227,419.20/341,128.80 = 109,029.60/x
  3. Step 3: Cross multiply
    227,419.20x = 341,128.80 × 109,029.60
  4. Step 4: Simplify right side
    227,419.20x = 37,193,136,612.48
  5. Step 5: Solve for x
    x = 37,193,136,612.48/227,419.20
  6. Step 6: Final answer
    x = 163,544.40

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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.