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Finding the Fourth Proportional to 331,153, 456,993.30 and 180,251.08

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Solution

The fourth proportional to 331,153, 456,993.30 and 180,251.08 is: 248,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,153 : 456,993.30 = 180,251.08 : x
  2. Step 2: Convert to fraction form
    331,153/456,993.30 = 180,251.08/x
  3. Step 3: Cross multiply
    331,153x = 456,993.30 × 180,251.08
  4. Step 4: Simplify right side
    331,153x = 82,373,535,877.76
  5. Step 5: Solve for x
    x = 82,373,535,877.76/331,153
  6. Step 6: Final answer
    x = 248,747.67

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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.