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Finding the Fourth Proportional to 137,178.40, 205,767.60 and 43,693.60

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Solution

The fourth proportional to 137,178.40, 205,767.60 and 43,693.60 is: 65,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.40 : 205,767.60 = 43,693.60 : x
  2. Step 2: Convert to fraction form
    137,178.40/205,767.60 = 43,693.60/x
  3. Step 3: Cross multiply
    137,178.40x = 205,767.60 × 43,693.60
  4. Step 4: Simplify right side
    137,178.40x = 8,990,727,207.36
  5. Step 5: Solve for x
    x = 8,990,727,207.36/137,178.40
  6. Step 6: Final answer
    x = 65,540.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.