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Finding the Fourth Proportional to 152,378.30, 228,049.05 and 133,715.90

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Solution

The fourth proportional to 152,378.30, 228,049.05 and 133,715.90 is: 200,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,378.30 : 228,049.05 = 133,715.90 : x
  2. Step 2: Convert to fraction form
    152,378.30/228,049.05 = 133,715.90/x
  3. Step 3: Cross multiply
    152,378.30x = 228,049.05 × 133,715.90
  4. Step 4: Simplify right side
    152,378.30x = 30,493,783,964.90
  5. Step 5: Solve for x
    x = 30,493,783,964.90/152,378.30
  6. Step 6: Final answer
    x = 200,118.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.