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Finding the Fourth Proportional to 252,273.66, 378,511.50 and 102,525.48

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Solution

The fourth proportional to 252,273.66, 378,511.50 and 102,525.48 is: 153,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,273.66 : 378,511.50 = 102,525.48 : x
  2. Step 2: Convert to fraction form
    252,273.66/378,511.50 = 102,525.48/x
  3. Step 3: Cross multiply
    252,273.66x = 378,511.50 × 102,525.48
  4. Step 4: Simplify right side
    252,273.66x = 38,807,073,223.02
  5. Step 5: Solve for x
    x = 38,807,073,223.02/252,273.66
  6. Step 6: Final answer
    x = 153,829.27

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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.