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Finding the Fourth Proportional to 115,731.38, 159,709.33 and 65,429.94

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Solution

The fourth proportional to 115,731.38, 159,709.33 and 65,429.94 is: 90,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,731.38 : 159,709.33 = 65,429.94 : x
  2. Step 2: Convert to fraction form
    115,731.38/159,709.33 = 65,429.94/x
  3. Step 3: Cross multiply
    115,731.38x = 159,709.33 × 65,429.94
  4. Step 4: Simplify right side
    115,731.38x = 10,449,771,879.34
  5. Step 5: Solve for x
    x = 10,449,771,879.34/115,731.38
  6. Step 6: Final answer
    x = 90,293.33

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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.