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Finding the Fourth Proportional to 121,133.80, 167,021.60 and 82,911.76

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Solution

The fourth proportional to 121,133.80, 167,021.60 and 82,911.76 is: 114,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,133.80 : 167,021.60 = 82,911.76 : x
  2. Step 2: Convert to fraction form
    121,133.80/167,021.60 = 82,911.76/x
  3. Step 3: Cross multiply
    121,133.80x = 167,021.60 × 82,911.76
  4. Step 4: Simplify right side
    121,133.80x = 13,848,054,814.02
  5. Step 5: Solve for x
    x = 13,848,054,814.02/121,133.80
  6. Step 6: Final answer
    x = 114,320.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.