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Finding the Fourth Proportional to 203,076.24, 304,811.19 and 97,969.02

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Solution

The fourth proportional to 203,076.24, 304,811.19 and 97,969.02 is: 147,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076.24 : 304,811.19 = 97,969.02 : x
  2. Step 2: Convert to fraction form
    203,076.24/304,811.19 = 97,969.02/x
  3. Step 3: Cross multiply
    203,076.24x = 304,811.19 × 97,969.02
  4. Step 4: Simplify right side
    203,076.24x = 29,862,053,569.33
  5. Step 5: Solve for x
    x = 29,862,053,569.33/203,076.24
  6. Step 6: Final answer
    x = 147,048.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.