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Finding the Fourth Proportional to 219,615.38, 303,069.21 and 119,013.38

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Solution

The fourth proportional to 219,615.38, 303,069.21 and 119,013.38 is: 164,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,615.38 : 303,069.21 = 119,013.38 : x
  2. Step 2: Convert to fraction form
    219,615.38/303,069.21 = 119,013.38/x
  3. Step 3: Cross multiply
    219,615.38x = 303,069.21 × 119,013.38
  4. Step 4: Simplify right side
    219,615.38x = 36,069,291,056.03
  5. Step 5: Solve for x
    x = 36,069,291,056.03/219,615.38
  6. Step 6: Final answer
    x = 164,238.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.