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Finding the Fourth Proportional to 218,716.38, 301,828.61 and 118,114.38

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Solution

The fourth proportional to 218,716.38, 301,828.61 and 118,114.38 is: 162,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,716.38 : 301,828.61 = 118,114.38 : x
  2. Step 2: Convert to fraction form
    218,716.38/301,828.61 = 118,114.38/x
  3. Step 3: Cross multiply
    218,716.38x = 301,828.61 × 118,114.38
  4. Step 4: Simplify right side
    218,716.38x = 35,650,299,136.41
  5. Step 5: Solve for x
    x = 35,650,299,136.41/218,716.38
  6. Step 6: Final answer
    x = 162,997.85

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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.