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Finding the Fourth Proportional to 129,293.64, 178,382.34 and 105,379.24

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Solution

The fourth proportional to 129,293.64, 178,382.34 and 105,379.24 is: 145,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,293.64 : 178,382.34 = 105,379.24 : x
  2. Step 2: Convert to fraction form
    129,293.64/178,382.34 = 105,379.24/x
  3. Step 3: Cross multiply
    129,293.64x = 178,382.34 × 105,379.24
  4. Step 4: Simplify right side
    129,293.64x = 18,797,795,418.62
  5. Step 5: Solve for x
    x = 18,797,795,418.62/129,293.64
  6. Step 6: Final answer
    x = 145,388.40

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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.