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Finding the Fourth Proportional to 238,809.12, 357,918.43 and 120,514.29

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Solution

The fourth proportional to 238,809.12, 357,918.43 and 120,514.29 is: 180,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,809.12 : 357,918.43 = 120,514.29 : x
  2. Step 2: Convert to fraction form
    238,809.12/357,918.43 = 120,514.29/x
  3. Step 3: Cross multiply
    238,809.12x = 357,918.43 × 120,514.29
  4. Step 4: Simplify right side
    238,809.12x = 43,134,285,469.36
  5. Step 5: Solve for x
    x = 43,134,285,469.36/238,809.12
  6. Step 6: Final answer
    x = 180,622.44

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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.