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Finding the Fourth Proportional to 214,368.32, 295,845 and 118,893.68

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Solution

The fourth proportional to 214,368.32, 295,845 and 118,893.68 is: 164,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,368.32 : 295,845 = 118,893.68 : x
  2. Step 2: Convert to fraction form
    214,368.32/295,845 = 118,893.68/x
  3. Step 3: Cross multiply
    214,368.32x = 295,845 × 118,893.68
  4. Step 4: Simplify right side
    214,368.32x = 35,174,100,759.60
  5. Step 5: Solve for x
    x = 35,174,100,759.60/214,368.32
  6. Step 6: Final answer
    x = 164,082.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.