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Finding the Fourth Proportional to 332,145.90, 498,283.65 and 142,605.90

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Solution

The fourth proportional to 332,145.90, 498,283.65 and 142,605.90 is: 213,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,145.90 : 498,283.65 = 142,605.90 : x
  2. Step 2: Convert to fraction form
    332,145.90/498,283.65 = 142,605.90/x
  3. Step 3: Cross multiply
    332,145.90x = 498,283.65 × 142,605.90
  4. Step 4: Simplify right side
    332,145.90x = 71,058,188,363.54
  5. Step 5: Solve for x
    x = 71,058,188,363.54/332,145.90
  6. Step 6: Final answer
    x = 213,936.67

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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.