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Finding the Fourth Proportional to 299,213.01, 412,873.02 and 171,888.57

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Solution

The fourth proportional to 299,213.01, 412,873.02 and 171,888.57 is: 237,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213.01 : 412,873.02 = 171,888.57 : x
  2. Step 2: Convert to fraction form
    299,213.01/412,873.02 = 171,888.57/x
  3. Step 3: Cross multiply
    299,213.01x = 412,873.02 × 171,888.57
  4. Step 4: Simplify right side
    299,213.01x = 70,968,152,999.38
  5. Step 5: Solve for x
    x = 70,968,152,999.38/299,213.01
  6. Step 6: Final answer
    x = 237,182.71

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Why These Related Problems?

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