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Finding the Fourth Proportional to 122,205.48, 183,308.48 and 33,459.88

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Solution

The fourth proportional to 122,205.48, 183,308.48 and 33,459.88 is: 50,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,205.48 : 183,308.48 = 33,459.88 : x
  2. Step 2: Convert to fraction form
    122,205.48/183,308.48 = 33,459.88/x
  3. Step 3: Cross multiply
    122,205.48x = 183,308.48 × 33,459.88
  4. Step 4: Simplify right side
    122,205.48x = 6,133,479,743.78
  5. Step 5: Solve for x
    x = 6,133,479,743.78/122,205.48
  6. Step 6: Final answer
    x = 50,189.89

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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.