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Finding the Fourth Proportional to 292,201.06, 438,361.14 and 132,200.14

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Solution

The fourth proportional to 292,201.06, 438,361.14 and 132,200.14 is: 198,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,201.06 : 438,361.14 = 132,200.14 : x
  2. Step 2: Convert to fraction form
    292,201.06/438,361.14 = 132,200.14/x
  3. Step 3: Cross multiply
    292,201.06x = 438,361.14 × 132,200.14
  4. Step 4: Simplify right side
    292,201.06x = 57,951,404,078.56
  5. Step 5: Solve for x
    x = 57,951,404,078.56/292,201.06
  6. Step 6: Final answer
    x = 198,327.15

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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.