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Finding the Fourth Proportional to 215,710.24, 298,218.19 and 161,901.84

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Solution

The fourth proportional to 215,710.24, 298,218.19 and 161,901.84 is: 223,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,710.24 : 298,218.19 = 161,901.84 : x
  2. Step 2: Convert to fraction form
    215,710.24/298,218.19 = 161,901.84/x
  3. Step 3: Cross multiply
    215,710.24x = 298,218.19 × 161,901.84
  4. Step 4: Simplify right side
    215,710.24x = 48,282,073,022.12
  5. Step 5: Solve for x
    x = 48,282,073,022.12/215,710.24
  6. Step 6: Final answer
    x = 223,828.38

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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.