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Finding the Fourth Proportional to 202,096.08, 278,871.12 and 111,446.10

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Solution

The fourth proportional to 202,096.08, 278,871.12 and 111,446.10 is: 153,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,096.08 : 278,871.12 = 111,446.10 : x
  2. Step 2: Convert to fraction form
    202,096.08/278,871.12 = 111,446.10/x
  3. Step 3: Cross multiply
    202,096.08x = 278,871.12 × 111,446.10
  4. Step 4: Simplify right side
    202,096.08x = 31,079,098,726.63
  5. Step 5: Solve for x
    x = 31,079,098,726.63/202,096.08
  6. Step 6: Final answer
    x = 153,783.78

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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.