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Finding the Fourth Proportional to 215,955.83, 298,025.39 and 120,460.48

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Solution

The fourth proportional to 215,955.83, 298,025.39 and 120,460.48 is: 166,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,955.83 : 298,025.39 = 120,460.48 : x
  2. Step 2: Convert to fraction form
    215,955.83/298,025.39 = 120,460.48/x
  3. Step 3: Cross multiply
    215,955.83x = 298,025.39 × 120,460.48
  4. Step 4: Simplify right side
    215,955.83x = 35,900,280,184.22
  5. Step 5: Solve for x
    x = 35,900,280,184.22/215,955.83
  6. Step 6: Final answer
    x = 166,238.99

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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.