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Finding the Fourth Proportional to 197,076.96, 271,966.50 and 112,194

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Solution

The fourth proportional to 197,076.96, 271,966.50 and 112,194 is: 154,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,076.96 : 271,966.50 = 112,194 : x
  2. Step 2: Convert to fraction form
    197,076.96/271,966.50 = 112,194/x
  3. Step 3: Cross multiply
    197,076.96x = 271,966.50 × 112,194
  4. Step 4: Simplify right side
    197,076.96x = 30,513,009,501
  5. Step 5: Solve for x
    x = 30,513,009,501/197,076.96
  6. Step 6: Final answer
    x = 154,827.89

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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.