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Finding the Fourth Proportional to 230,923.52, 317,451.22 and 198,538.88

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Solution

The fourth proportional to 230,923.52, 317,451.22 and 198,538.88 is: 272,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,923.52 : 317,451.22 = 198,538.88 : x
  2. Step 2: Convert to fraction form
    230,923.52/317,451.22 = 198,538.88/x
  3. Step 3: Cross multiply
    230,923.52x = 317,451.22 × 198,538.88
  4. Step 4: Simplify right side
    230,923.52x = 63,026,409,673.43
  5. Step 5: Solve for x
    x = 63,026,409,673.43/230,923.52
  6. Step 6: Final answer
    x = 272,931.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.