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Finding the Fourth Proportional to 206,580.40, 310,526.70 and 194,770.60

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Solution

The fourth proportional to 206,580.40, 310,526.70 and 194,770.60 is: 292,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580.40 : 310,526.70 = 194,770.60 : x
  2. Step 2: Convert to fraction form
    206,580.40/310,526.70 = 194,770.60/x
  3. Step 3: Cross multiply
    206,580.40x = 310,526.70 × 194,770.60
  4. Step 4: Simplify right side
    206,580.40x = 60,481,471,675.02
  5. Step 5: Solve for x
    x = 60,481,471,675.02/206,580.40
  6. Step 6: Final answer
    x = 292,774.49

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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.