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Finding the Fourth Proportional to 122,171.30, 183,458.48 and 82,445.50

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Solution

The fourth proportional to 122,171.30, 183,458.48 and 82,445.50 is: 123,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,171.30 : 183,458.48 = 82,445.50 : x
  2. Step 2: Convert to fraction form
    122,171.30/183,458.48 = 82,445.50/x
  3. Step 3: Cross multiply
    122,171.30x = 183,458.48 × 82,445.50
  4. Step 4: Simplify right side
    122,171.30x = 15,125,324,783.32
  5. Step 5: Solve for x
    x = 15,125,324,783.32/122,171.30
  6. Step 6: Final answer
    x = 123,804.24

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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.