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Finding the Fourth Proportional to 218,716.14, 301,828.26 and 118,114.14

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Solution

The fourth proportional to 218,716.14, 301,828.26 and 118,114.14 is: 162,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,716.14 : 301,828.26 = 118,114.14 : x
  2. Step 2: Convert to fraction form
    218,716.14/301,828.26 = 118,114.14/x
  3. Step 3: Cross multiply
    218,716.14x = 301,828.26 × 118,114.14
  4. Step 4: Simplify right side
    218,716.14x = 35,650,185,357.60
  5. Step 5: Solve for x
    x = 35,650,185,357.60/218,716.14
  6. Step 6: Final answer
    x = 162,997.51

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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.