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Finding the Fourth Proportional to 122,271.12, 183,394.38 and 33,533.54

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Solution

The fourth proportional to 122,271.12, 183,394.38 and 33,533.54 is: 50,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,271.12 : 183,394.38 = 33,533.54 : x
  2. Step 2: Convert to fraction form
    122,271.12/183,394.38 = 33,533.54/x
  3. Step 3: Cross multiply
    122,271.12x = 183,394.38 × 33,533.54
  4. Step 4: Simplify right side
    122,271.12x = 6,149,862,777.51
  5. Step 5: Solve for x
    x = 6,149,862,777.51/122,271.12
  6. Step 6: Final answer
    x = 50,296.94

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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.