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Finding the Fourth Proportional to 213,057.71, 294,126.09 and 132,511.21

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Solution

The fourth proportional to 213,057.71, 294,126.09 and 132,511.21 is: 182,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,057.71 : 294,126.09 = 132,511.21 : x
  2. Step 2: Convert to fraction form
    213,057.71/294,126.09 = 132,511.21/x
  3. Step 3: Cross multiply
    213,057.71x = 294,126.09 × 132,511.21
  4. Step 4: Simplify right side
    213,057.71x = 38,975,002,846.24
  5. Step 5: Solve for x
    x = 38,975,002,846.24/213,057.71
  6. Step 6: Final answer
    x = 182,931.67

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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.