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Finding the Fourth Proportional to 296,900.37, 409,727.75 and 160,938.83

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Solution

The fourth proportional to 296,900.37, 409,727.75 and 160,938.83 is: 222,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,900.37 : 409,727.75 = 160,938.83 : x
  2. Step 2: Convert to fraction form
    296,900.37/409,727.75 = 160,938.83/x
  3. Step 3: Cross multiply
    296,900.37x = 409,727.75 × 160,938.83
  4. Step 4: Simplify right side
    296,900.37x = 65,941,104,703.53
  5. Step 5: Solve for x
    x = 65,941,104,703.53/296,900.37
  6. Step 6: Final answer
    x = 222,098.43

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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.