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Finding the Fourth Proportional to 296,962.54, 409,811.13 and 160,996.14

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Solution

The fourth proportional to 296,962.54, 409,811.13 and 160,996.14 is: 222,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,962.54 : 409,811.13 = 160,996.14 : x
  2. Step 2: Convert to fraction form
    296,962.54/409,811.13 = 160,996.14/x
  3. Step 3: Cross multiply
    296,962.54x = 409,811.13 × 160,996.14
  4. Step 4: Simplify right side
    296,962.54x = 65,978,010,059.04
  5. Step 5: Solve for x
    x = 65,978,010,059.04/296,962.54
  6. Step 6: Final answer
    x = 222,176.21

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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.