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Finding the Fourth Proportional to 202,932.96, 280,047.81 and 112,292.73

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Solution

The fourth proportional to 202,932.96, 280,047.81 and 112,292.73 is: 154,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,932.96 : 280,047.81 = 112,292.73 : x
  2. Step 2: Convert to fraction form
    202,932.96/280,047.81 = 112,292.73/x
  3. Step 3: Cross multiply
    202,932.96x = 280,047.81 × 112,292.73
  4. Step 4: Simplify right side
    202,932.96x = 31,447,333,115.42
  5. Step 5: Solve for x
    x = 31,447,333,115.42/202,932.96
  6. Step 6: Final answer
    x = 154,964.15

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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.