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Finding the Fourth Proportional to 215,963.28, 298,050.03 and 120,478.86

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Solution

The fourth proportional to 215,963.28, 298,050.03 and 120,478.86 is: 166,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,963.28 : 298,050.03 = 120,478.86 : x
  2. Step 2: Convert to fraction form
    215,963.28/298,050.03 = 120,478.86/x
  3. Step 3: Cross multiply
    215,963.28x = 298,050.03 × 120,478.86
  4. Step 4: Simplify right side
    215,963.28x = 35,908,727,837.37
  5. Step 5: Solve for x
    x = 35,908,727,837.37/215,963.28
  6. Step 6: Final answer
    x = 166,272.38

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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.