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Finding the Fourth Proportional to 215,889.96, 297,921.56 and 120,412.82

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Solution

The fourth proportional to 215,889.96, 297,921.56 and 120,412.82 is: 166,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,889.96 : 297,921.56 = 120,412.82 : x
  2. Step 2: Convert to fraction form
    215,889.96/297,921.56 = 120,412.82/x
  3. Step 3: Cross multiply
    215,889.96x = 297,921.56 × 120,412.82
  4. Step 4: Simplify right side
    215,889.96x = 35,873,575,178.40
  5. Step 5: Solve for x
    x = 35,873,575,178.40/215,889.96
  6. Step 6: Final answer
    x = 166,166.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.