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Finding the Fourth Proportional to 218,815.31, 301,965.17 and 118,213.31

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Solution

The fourth proportional to 218,815.31, 301,965.17 and 118,213.31 is: 163,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,815.31 : 301,965.17 = 118,213.31 : x
  2. Step 2: Convert to fraction form
    218,815.31/301,965.17 = 118,213.31/x
  3. Step 3: Cross multiply
    218,815.31x = 301,965.17 × 118,213.31
  4. Step 4: Simplify right side
    218,815.31x = 35,696,302,414.26
  5. Step 5: Solve for x
    x = 35,696,302,414.26/218,815.31
  6. Step 6: Final answer
    x = 163,134.39

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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.