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Finding the Fourth Proportional to 115,826.85, 159,843.75 and 64,838.31

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Solution

The fourth proportional to 115,826.85, 159,843.75 and 64,838.31 is: 89,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,826.85 : 159,843.75 = 64,838.31 : x
  2. Step 2: Convert to fraction form
    115,826.85/159,843.75 = 64,838.31/x
  3. Step 3: Cross multiply
    115,826.85x = 159,843.75 × 64,838.31
  4. Step 4: Simplify right side
    115,826.85x = 10,363,998,614.06
  5. Step 5: Solve for x
    x = 10,363,998,614.06/115,826.85
  6. Step 6: Final answer
    x = 89,478.38

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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.