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Finding the Fourth Proportional to 252,106.89, 378,152.67 and 102,343.56

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Solution

The fourth proportional to 252,106.89, 378,152.67 and 102,343.56 is: 153,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,106.89 : 378,152.67 = 102,343.56 : x
  2. Step 2: Convert to fraction form
    252,106.89/378,152.67 = 102,343.56/x
  3. Step 3: Cross multiply
    252,106.89x = 378,152.67 × 102,343.56
  4. Step 4: Simplify right side
    252,106.89x = 38,701,490,471.31
  5. Step 5: Solve for x
    x = 38,701,490,471.31/252,106.89
  6. Step 6: Final answer
    x = 153,512.23

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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.