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Finding the Fourth Proportional to 231,924, 320,055.12 and 131,322

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Solution

The fourth proportional to 231,924, 320,055.12 and 131,322 is: 181,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,924 : 320,055.12 = 131,322 : x
  2. Step 2: Convert to fraction form
    231,924/320,055.12 = 131,322/x
  3. Step 3: Cross multiply
    231,924x = 320,055.12 × 131,322
  4. Step 4: Simplify right side
    231,924x = 42,030,278,468.64
  5. Step 5: Solve for x
    x = 42,030,278,468.64/231,924
  6. Step 6: Final answer
    x = 181,224.36

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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.