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Finding the Fourth Proportional to 215,924.96, 297,976.86 and 120,437.84

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Solution

The fourth proportional to 215,924.96, 297,976.86 and 120,437.84 is: 166,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,924.96 : 297,976.86 = 120,437.84 : x
  2. Step 2: Convert to fraction form
    215,924.96/297,976.86 = 120,437.84/x
  3. Step 3: Cross multiply
    215,924.96x = 297,976.86 × 120,437.84
  4. Step 4: Simplify right side
    215,924.96x = 35,887,687,898.50
  5. Step 5: Solve for x
    x = 35,887,687,898.50/215,924.96
  6. Step 6: Final answer
    x = 166,204.45

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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.