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Finding the Fourth Proportional to 231,092.49, 346,409.10 and 160,824.18

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Solution

The fourth proportional to 231,092.49, 346,409.10 and 160,824.18 is: 241,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,092.49 : 346,409.10 = 160,824.18 : x
  2. Step 2: Convert to fraction form
    231,092.49/346,409.10 = 160,824.18/x
  3. Step 3: Cross multiply
    231,092.49x = 346,409.10 × 160,824.18
  4. Step 4: Simplify right side
    231,092.49x = 55,710,959,452.04
  5. Step 5: Solve for x
    x = 55,710,959,452.04/231,092.49
  6. Step 6: Final answer
    x = 241,076.46

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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.