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Finding the Fourth Proportional to 197,028.95, 271,900.25 and 112,146

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Solution

The fourth proportional to 197,028.95, 271,900.25 and 112,146 is: 154,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,028.95 : 271,900.25 = 112,146 : x
  2. Step 2: Convert to fraction form
    197,028.95/271,900.25 = 112,146/x
  3. Step 3: Cross multiply
    197,028.95x = 271,900.25 × 112,146
  4. Step 4: Simplify right side
    197,028.95x = 30,492,524,875.77
  5. Step 5: Solve for x
    x = 30,492,524,875.77/197,028.95
  6. Step 6: Final answer
    x = 154,761.65

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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.