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Finding the Fourth Proportional to 227,560.80, 341,443.60 and 102,837.60

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Solution

The fourth proportional to 227,560.80, 341,443.60 and 102,837.60 is: 154,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,560.80 : 341,443.60 = 102,837.60 : x
  2. Step 2: Convert to fraction form
    227,560.80/341,443.60 = 102,837.60/x
  3. Step 3: Cross multiply
    227,560.80x = 341,443.60 × 102,837.60
  4. Step 4: Simplify right side
    227,560.80x = 35,113,240,359.36
  5. Step 5: Solve for x
    x = 35,113,240,359.36/227,560.80
  6. Step 6: Final answer
    x = 154,302.68

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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.