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Finding the Fourth Proportional to 214,201.86, 295,606.44 and 129,302.52

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Solution

The fourth proportional to 214,201.86, 295,606.44 and 129,302.52 is: 178,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,201.86 : 295,606.44 = 129,302.52 : x
  2. Step 2: Convert to fraction form
    214,201.86/295,606.44 = 129,302.52/x
  3. Step 3: Cross multiply
    214,201.86x = 295,606.44 × 129,302.52
  4. Step 4: Simplify right side
    214,201.86x = 38,222,657,620.23
  5. Step 5: Solve for x
    x = 38,222,657,620.23/214,201.86
  6. Step 6: Final answer
    x = 178,442.23

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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.