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Finding the Fourth Proportional to 225,835.20, 311,509.44 and 145,123.84

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Solution

The fourth proportional to 225,835.20, 311,509.44 and 145,123.84 is: 200,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,835.20 : 311,509.44 = 145,123.84 : x
  2. Step 2: Convert to fraction form
    225,835.20/311,509.44 = 145,123.84/x
  3. Step 3: Cross multiply
    225,835.20x = 311,509.44 × 145,123.84
  4. Step 4: Simplify right side
    225,835.20x = 45,207,446,129.05
  5. Step 5: Solve for x
    x = 45,207,446,129.05/225,835.20
  6. Step 6: Final answer
    x = 200,178.92

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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.