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Finding the Fourth Proportional to 300,902.04, 415,258.38 and 171,851.76

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Solution

The fourth proportional to 300,902.04, 415,258.38 and 171,851.76 is: 237,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,902.04 : 415,258.38 = 171,851.76 : x
  2. Step 2: Convert to fraction form
    300,902.04/415,258.38 = 171,851.76/x
  3. Step 3: Cross multiply
    300,902.04x = 415,258.38 × 171,851.76
  4. Step 4: Simplify right side
    300,902.04x = 71,362,883,457.75
  5. Step 5: Solve for x
    x = 71,362,883,457.75/300,902.04
  6. Step 6: Final answer
    x = 237,163.18

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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.