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Finding the Fourth Proportional to 218,603.60, 301,684.20 and 133,694

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Solution

The fourth proportional to 218,603.60, 301,684.20 and 133,694 is: 184,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,603.60 : 301,684.20 = 133,694 : x
  2. Step 2: Convert to fraction form
    218,603.60/301,684.20 = 133,694/x
  3. Step 3: Cross multiply
    218,603.60x = 301,684.20 × 133,694
  4. Step 4: Simplify right side
    218,603.60x = 40,333,367,434.80
  5. Step 5: Solve for x
    x = 40,333,367,434.80/218,603.60
  6. Step 6: Final answer
    x = 184,504.59

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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.