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Finding the Fourth Proportional to 230,231.34, 344,709.27 and 117,669.18

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Solution

The fourth proportional to 230,231.34, 344,709.27 and 117,669.18 is: 176,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231.34 : 344,709.27 = 117,669.18 : x
  2. Step 2: Convert to fraction form
    230,231.34/344,709.27 = 117,669.18/x
  3. Step 3: Cross multiply
    230,231.34x = 344,709.27 × 117,669.18
  4. Step 4: Simplify right side
    230,231.34x = 40,561,657,139.30
  5. Step 5: Solve for x
    x = 40,561,657,139.30/230,231.34
  6. Step 6: Final answer
    x = 176,177.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.