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Finding the Fourth Proportional to 227,676.80, 341,612.40 and 109,287.20

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Solution

The fourth proportional to 227,676.80, 341,612.40 and 109,287.20 is: 163,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,676.80 : 341,612.40 = 109,287.20 : x
  2. Step 2: Convert to fraction form
    227,676.80/341,612.40 = 109,287.20/x
  3. Step 3: Cross multiply
    227,676.80x = 341,612.40 × 109,287.20
  4. Step 4: Simplify right side
    227,676.80x = 37,333,862,681.28
  5. Step 5: Solve for x
    x = 37,333,862,681.28/227,676.80
  6. Step 6: Final answer
    x = 163,977.46

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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.