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Finding the Fourth Proportional to 227,015.52, 340,733.12 and 114,774.72

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Solution

The fourth proportional to 227,015.52, 340,733.12 and 114,774.72 is: 172,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,015.52 : 340,733.12 = 114,774.72 : x
  2. Step 2: Convert to fraction form
    227,015.52/340,733.12 = 114,774.72/x
  3. Step 3: Cross multiply
    227,015.52x = 340,733.12 × 114,774.72
  4. Step 4: Simplify right side
    227,015.52x = 39,107,548,442.73
  5. Step 5: Solve for x
    x = 39,107,548,442.73/227,015.52
  6. Step 6: Final answer
    x = 172,268.17

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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.