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Finding the Fourth Proportional to 147,396.24, 203,407.20 and 96,444

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Solution

The fourth proportional to 147,396.24, 203,407.20 and 96,444 is: 133,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,396.24 : 203,407.20 = 96,444 : x
  2. Step 2: Convert to fraction form
    147,396.24/203,407.20 = 96,444/x
  3. Step 3: Cross multiply
    147,396.24x = 203,407.20 × 96,444
  4. Step 4: Simplify right side
    147,396.24x = 19,617,403,996.80
  5. Step 5: Solve for x
    x = 19,617,403,996.80/147,396.24
  6. Step 6: Final answer
    x = 133,092.97

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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.