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Finding the Fourth Proportional to 286,706.22, 429,884.37 and 118,174.38

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Solution

The fourth proportional to 286,706.22, 429,884.37 and 118,174.38 is: 177,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,706.22 : 429,884.37 = 118,174.38 : x
  2. Step 2: Convert to fraction form
    286,706.22/429,884.37 = 118,174.38/x
  3. Step 3: Cross multiply
    286,706.22x = 429,884.37 × 118,174.38
  4. Step 4: Simplify right side
    286,706.22x = 50,801,318,896.44
  5. Step 5: Solve for x
    x = 50,801,318,896.44/286,706.22
  6. Step 6: Final answer
    x = 177,189.46

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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.