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Finding the Fourth Proportional to 188,334.67, 282,546.43 and 61,984.85

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Solution

The fourth proportional to 188,334.67, 282,546.43 and 61,984.85 is: 92,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,334.67 : 282,546.43 = 61,984.85 : x
  2. Step 2: Convert to fraction form
    188,334.67/282,546.43 = 61,984.85/x
  3. Step 3: Cross multiply
    188,334.67x = 282,546.43 × 61,984.85
  4. Step 4: Simplify right side
    188,334.67x = 17,513,596,513.89
  5. Step 5: Solve for x
    x = 17,513,596,513.89/188,334.67
  6. Step 6: Final answer
    x = 92,991.89

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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.