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Finding the Fourth Proportional to 306,540.30, 459,805.08 and 137,941.30

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Solution

The fourth proportional to 306,540.30, 459,805.08 and 137,941.30 is: 206,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,540.30 : 459,805.08 = 137,941.30 : x
  2. Step 2: Convert to fraction form
    306,540.30/459,805.08 = 137,941.30/x
  3. Step 3: Cross multiply
    306,540.30x = 459,805.08 × 137,941.30
  4. Step 4: Simplify right side
    306,540.30x = 63,426,110,481.80
  5. Step 5: Solve for x
    x = 63,426,110,481.80/306,540.30
  6. Step 6: Final answer
    x = 206,909.53

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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.