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Finding the Fourth Proportional to 252,999.16, 378,711.42 and 159,308.08

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Solution

The fourth proportional to 252,999.16, 378,711.42 and 159,308.08 is: 238,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,999.16 : 378,711.42 = 159,308.08 : x
  2. Step 2: Convert to fraction form
    252,999.16/378,711.42 = 159,308.08/x
  3. Step 3: Cross multiply
    252,999.16x = 378,711.42 × 159,308.08
  4. Step 4: Simplify right side
    252,999.16x = 60,331,789,194.27
  5. Step 5: Solve for x
    x = 60,331,789,194.27/252,999.16
  6. Step 6: Final answer
    x = 238,466.36

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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.