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Finding the Fourth Proportional to 223,871.32, 309,007.56 and 178,862.68

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Solution

The fourth proportional to 223,871.32, 309,007.56 and 178,862.68 is: 246,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,871.32 : 309,007.56 = 178,862.68 : x
  2. Step 2: Convert to fraction form
    223,871.32/309,007.56 = 178,862.68/x
  3. Step 3: Cross multiply
    223,871.32x = 309,007.56 × 178,862.68
  4. Step 4: Simplify right side
    223,871.32x = 55,269,920,321.86
  5. Step 5: Solve for x
    x = 55,269,920,321.86/223,871.32
  6. Step 6: Final answer
    x = 246,882.54

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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.