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Finding the Fourth Proportional to 206,920.33, 310,597.68 and 183,378.49

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Solution

The fourth proportional to 206,920.33, 310,597.68 and 183,378.49 is: 275,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,920.33 : 310,597.68 = 183,378.49 : x
  2. Step 2: Convert to fraction form
    206,920.33/310,597.68 = 183,378.49/x
  3. Step 3: Cross multiply
    206,920.33x = 310,597.68 × 183,378.49
  4. Step 4: Simplify right side
    206,920.33x = 56,956,932,250.76
  5. Step 5: Solve for x
    x = 56,956,932,250.76/206,920.33
  6. Step 6: Final answer
    x = 275,260.21

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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.