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Finding the Fourth Proportional to 120,714.65, 181,104.27 and 41,828.87

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Solution

The fourth proportional to 120,714.65, 181,104.27 and 41,828.87 is: 62,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714.65 : 181,104.27 = 41,828.87 : x
  2. Step 2: Convert to fraction form
    120,714.65/181,104.27 = 41,828.87/x
  3. Step 3: Cross multiply
    120,714.65x = 181,104.27 × 41,828.87
  4. Step 4: Simplify right side
    120,714.65x = 7,575,387,262.18
  5. Step 5: Solve for x
    x = 7,575,387,262.18/120,714.65
  6. Step 6: Final answer
    x = 62,754.50

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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.