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Finding the Fourth Proportional to 115,294.38, 159,106.24 and 64,993.38

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Solution

The fourth proportional to 115,294.38, 159,106.24 and 64,993.38 is: 89,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294.38 : 159,106.24 = 64,993.38 : x
  2. Step 2: Convert to fraction form
    115,294.38/159,106.24 = 64,993.38/x
  3. Step 3: Cross multiply
    115,294.38x = 159,106.24 × 64,993.38
  4. Step 4: Simplify right side
    115,294.38x = 10,340,852,316.69
  5. Step 5: Solve for x
    x = 10,340,852,316.69/115,294.38
  6. Step 6: Final answer
    x = 89,690.86

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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.