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Finding the Fourth Proportional to 252,123.65, 347,924.21 and 137,405.24

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Solution

The fourth proportional to 252,123.65, 347,924.21 and 137,405.24 is: 189,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,123.65 : 347,924.21 = 137,405.24 : x
  2. Step 2: Convert to fraction form
    252,123.65/347,924.21 = 137,405.24/x
  3. Step 3: Cross multiply
    252,123.65x = 347,924.21 × 137,405.24
  4. Step 4: Simplify right side
    252,123.65x = 47,806,608,180.75
  5. Step 5: Solve for x
    x = 47,806,608,180.75/252,123.65
  6. Step 6: Final answer
    x = 189,615.73

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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.