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Finding the Fourth Proportional to 215,869.86, 297,901.53 and 120,380.58

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Solution

The fourth proportional to 215,869.86, 297,901.53 and 120,380.58 is: 166,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,869.86 : 297,901.53 = 120,380.58 : x
  2. Step 2: Convert to fraction form
    215,869.86/297,901.53 = 120,380.58/x
  3. Step 3: Cross multiply
    215,869.86x = 297,901.53 × 120,380.58
  4. Step 4: Simplify right side
    215,869.86x = 35,861,558,964.29
  5. Step 5: Solve for x
    x = 35,861,558,964.29/215,869.86
  6. Step 6: Final answer
    x = 166,125.83

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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.