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Finding the Fourth Proportional to 214,185.95, 295,580.43 and 117,383.36

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Solution

The fourth proportional to 214,185.95, 295,580.43 and 117,383.36 is: 161,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,185.95 : 295,580.43 = 117,383.36 : x
  2. Step 2: Convert to fraction form
    214,185.95/295,580.43 = 117,383.36/x
  3. Step 3: Cross multiply
    214,185.95x = 295,580.43 × 117,383.36
  4. Step 4: Simplify right side
    214,185.95x = 34,696,224,023.64
  5. Step 5: Solve for x
    x = 34,696,224,023.64/214,185.95
  6. Step 6: Final answer
    x = 161,991.13

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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.