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Finding the Fourth Proportional to 226,809.89, 312,867.29 and 141,779.33

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Solution

The fourth proportional to 226,809.89, 312,867.29 and 141,779.33 is: 195,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,809.89 : 312,867.29 = 141,779.33 : x
  2. Step 2: Convert to fraction form
    226,809.89/312,867.29 = 141,779.33/x
  3. Step 3: Cross multiply
    226,809.89x = 312,867.29 × 141,779.33
  4. Step 4: Simplify right side
    226,809.89x = 44,358,112,481.88
  5. Step 5: Solve for x
    x = 44,358,112,481.88/226,809.89
  6. Step 6: Final answer
    x = 195,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.