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Finding the Fourth Proportional to 215,041.96, 296,744.07 and 119,546.20

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Solution

The fourth proportional to 215,041.96, 296,744.07 and 119,546.20 is: 164,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,041.96 : 296,744.07 = 119,546.20 : x
  2. Step 2: Convert to fraction form
    215,041.96/296,744.07 = 119,546.20/x
  3. Step 3: Cross multiply
    215,041.96x = 296,744.07 × 119,546.20
  4. Step 4: Simplify right side
    215,041.96x = 35,474,625,941.03
  5. Step 5: Solve for x
    x = 35,474,625,941.03/215,041.96
  6. Step 6: Final answer
    x = 164,966.06

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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.