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Finding the Fourth Proportional to 182,202.60, 273,206.70 and 76,902.60

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Solution

The fourth proportional to 182,202.60, 273,206.70 and 76,902.60 is: 115,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,202.60 : 273,206.70 = 76,902.60 : x
  2. Step 2: Convert to fraction form
    182,202.60/273,206.70 = 76,902.60/x
  3. Step 3: Cross multiply
    182,202.60x = 273,206.70 × 76,902.60
  4. Step 4: Simplify right side
    182,202.60x = 21,010,305,567.42
  5. Step 5: Solve for x
    x = 21,010,305,567.42/182,202.60
  6. Step 6: Final answer
    x = 115,312.87

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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.