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Finding the Fourth Proportional to 263,740.47, 363,962 and 142,882.60

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Solution

The fourth proportional to 263,740.47, 363,962 and 142,882.60 is: 197,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,740.47 : 363,962 = 142,882.60 : x
  2. Step 2: Convert to fraction form
    263,740.47/363,962 = 142,882.60/x
  3. Step 3: Cross multiply
    263,740.47x = 363,962 × 142,882.60
  4. Step 4: Simplify right side
    263,740.47x = 52,003,835,951.30
  5. Step 5: Solve for x
    x = 52,003,835,951.30/263,740.47
  6. Step 6: Final answer
    x = 197,178.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.