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Finding the Fourth Proportional to 270,606.30, 405,909.45 and 83,675.10

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Solution

The fourth proportional to 270,606.30, 405,909.45 and 83,675.10 is: 125,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,606.30 : 405,909.45 = 83,675.10 : x
  2. Step 2: Convert to fraction form
    270,606.30/405,909.45 = 83,675.10/x
  3. Step 3: Cross multiply
    270,606.30x = 405,909.45 × 83,675.10
  4. Step 4: Simplify right side
    270,606.30x = 33,964,513,819.70
  5. Step 5: Solve for x
    x = 33,964,513,819.70/270,606.30
  6. Step 6: Final answer
    x = 125,512.65

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