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Finding the Fourth Proportional to 252,359.63, 378,610.94 and 102,707.33

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Solution

The fourth proportional to 252,359.63, 378,610.94 and 102,707.33 is: 154,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,359.63 : 378,610.94 = 102,707.33 : x
  2. Step 2: Convert to fraction form
    252,359.63/378,610.94 = 102,707.33/x
  3. Step 3: Cross multiply
    252,359.63x = 378,610.94 × 102,707.33
  4. Step 4: Simplify right side
    252,359.63x = 38,886,117,119.90
  5. Step 5: Solve for x
    x = 38,886,117,119.90/252,359.63
  6. Step 6: Final answer
    x = 154,090.09

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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.