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Finding the Fourth Proportional to 115,273, 159,207.96 and 77,481.64

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Solution

The fourth proportional to 115,273, 159,207.96 and 77,481.64 is: 107,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,273 : 159,207.96 = 77,481.64 : x
  2. Step 2: Convert to fraction form
    115,273/159,207.96 = 77,481.64/x
  3. Step 3: Cross multiply
    115,273x = 159,207.96 × 77,481.64
  4. Step 4: Simplify right side
    115,273x = 12,335,693,841.85
  5. Step 5: Solve for x
    x = 12,335,693,841.85/115,273
  6. Step 6: Final answer
    x = 107,012.86

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