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Finding the Fourth Proportional to 227,181, 340,815.24 and 102,522

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Solution

The fourth proportional to 227,181, 340,815.24 and 102,522 is: 153,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,181 : 340,815.24 = 102,522 : x
  2. Step 2: Convert to fraction form
    227,181/340,815.24 = 102,522/x
  3. Step 3: Cross multiply
    227,181x = 340,815.24 × 102,522
  4. Step 4: Simplify right side
    227,181x = 34,941,060,035.28
  5. Step 5: Solve for x
    x = 34,941,060,035.28/227,181
  6. Step 6: Final answer
    x = 153,802.74

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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.