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Finding the Fourth Proportional to 219,936.40, 303,515.76 and 119,334.40

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Solution

The fourth proportional to 219,936.40, 303,515.76 and 119,334.40 is: 164,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,936.40 : 303,515.76 = 119,334.40 : x
  2. Step 2: Convert to fraction form
    219,936.40/303,515.76 = 119,334.40/x
  3. Step 3: Cross multiply
    219,936.40x = 303,515.76 × 119,334.40
  4. Step 4: Simplify right side
    219,936.40x = 36,219,871,110.14
  5. Step 5: Solve for x
    x = 36,219,871,110.14/219,936.40
  6. Step 6: Final answer
    x = 164,683.39

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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.