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Finding the Fourth Proportional to 215,917.56, 297,966.75 and 120,430.44

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Solution

The fourth proportional to 215,917.56, 297,966.75 and 120,430.44 is: 166,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,917.56 : 297,966.75 = 120,430.44 : x
  2. Step 2: Convert to fraction form
    215,917.56/297,966.75 = 120,430.44/x
  3. Step 3: Cross multiply
    215,917.56x = 297,966.75 × 120,430.44
  4. Step 4: Simplify right side
    215,917.56x = 35,884,266,807.87
  5. Step 5: Solve for x
    x = 35,884,266,807.87/215,917.56
  6. Step 6: Final answer
    x = 166,194.30

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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.