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Finding the Fourth Proportional to 115,883.68, 159,914.64 and 65,585.44

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Solution

The fourth proportional to 115,883.68, 159,914.64 and 65,585.44 is: 90,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,883.68 : 159,914.64 = 65,585.44 : x
  2. Step 2: Convert to fraction form
    115,883.68/159,914.64 = 65,585.44/x
  3. Step 3: Cross multiply
    115,883.68x = 159,914.64 × 65,585.44
  4. Step 4: Simplify right side
    115,883.68x = 10,488,072,026.84
  5. Step 5: Solve for x
    x = 10,488,072,026.84/115,883.68
  6. Step 6: Final answer
    x = 90,505.17

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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.