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Finding the Fourth Proportional to 303,902.10, 419,410.14 and 167,962.59

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Solution

The fourth proportional to 303,902.10, 419,410.14 and 167,962.59 is: 231,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,902.10 : 419,410.14 = 167,962.59 : x
  2. Step 2: Convert to fraction form
    303,902.10/419,410.14 = 167,962.59/x
  3. Step 3: Cross multiply
    303,902.10x = 419,410.14 × 167,962.59
  4. Step 4: Simplify right side
    303,902.10x = 70,445,213,386.66
  5. Step 5: Solve for x
    x = 70,445,213,386.66/303,902.10
  6. Step 6: Final answer
    x = 231,802.33

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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.