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Finding the Fourth Proportional to 240,809.56, 361,326.42 and 107,779.82

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Solution

The fourth proportional to 240,809.56, 361,326.42 and 107,779.82 is: 161,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,809.56 : 361,326.42 = 107,779.82 : x
  2. Step 2: Convert to fraction form
    240,809.56/361,326.42 = 107,779.82/x
  3. Step 3: Cross multiply
    240,809.56x = 361,326.42 × 107,779.82
  4. Step 4: Simplify right side
    240,809.56x = 38,943,694,702.21
  5. Step 5: Solve for x
    x = 38,943,694,702.21/240,809.56
  6. Step 6: Final answer
    x = 161,719.89

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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.