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Finding the Fourth Proportional to 294,139.40, 441,324.30 and 107,169.80

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Solution

The fourth proportional to 294,139.40, 441,324.30 and 107,169.80 is: 160,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,139.40 : 441,324.30 = 107,169.80 : x
  2. Step 2: Convert to fraction form
    294,139.40/441,324.30 = 107,169.80/x
  3. Step 3: Cross multiply
    294,139.40x = 441,324.30 × 107,169.80
  4. Step 4: Simplify right side
    294,139.40x = 47,296,636,966.14
  5. Step 5: Solve for x
    x = 47,296,636,966.14/294,139.40
  6. Step 6: Final answer
    x = 160,796.67

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Why These Related Problems?

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