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Finding the Fourth Proportional to 212,273.24, 292,815.42 and 132,647

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Solution

The fourth proportional to 212,273.24, 292,815.42 and 132,647 is: 182,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,273.24 : 292,815.42 = 132,647 : x
  2. Step 2: Convert to fraction form
    212,273.24/292,815.42 = 132,647/x
  3. Step 3: Cross multiply
    212,273.24x = 292,815.42 × 132,647
  4. Step 4: Simplify right side
    212,273.24x = 38,841,087,016.74
  5. Step 5: Solve for x
    x = 38,841,087,016.74/212,273.24
  6. Step 6: Final answer
    x = 182,976.84

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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.