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Finding the Fourth Proportional to 230,414.98, 345,836.31 and 118,178.14

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Solution

The fourth proportional to 230,414.98, 345,836.31 and 118,178.14 is: 177,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,414.98 : 345,836.31 = 118,178.14 : x
  2. Step 2: Convert to fraction form
    230,414.98/345,836.31 = 118,178.14/x
  3. Step 3: Cross multiply
    230,414.98x = 345,836.31 × 118,178.14
  4. Step 4: Simplify right side
    230,414.98x = 40,870,291,860.26
  5. Step 5: Solve for x
    x = 40,870,291,860.26/230,414.98
  6. Step 6: Final answer
    x = 177,376.89

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Why These Related Problems?

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