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Finding the Fourth Proportional to 252,035.67, 378,123.57 and 109,893.36

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Solution

The fourth proportional to 252,035.67, 378,123.57 and 109,893.36 is: 164,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,035.67 : 378,123.57 = 109,893.36 : x
  2. Step 2: Convert to fraction form
    252,035.67/378,123.57 = 109,893.36/x
  3. Step 3: Cross multiply
    252,035.67x = 378,123.57 × 109,893.36
  4. Step 4: Simplify right side
    252,035.67x = 41,553,269,602.50
  5. Step 5: Solve for x
    x = 41,553,269,602.50/252,035.67
  6. Step 6: Final answer
    x = 164,870.59

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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.