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Finding the Fourth Proportional to 231,782.67, 319,844.87 and 129,784.76

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Solution

The fourth proportional to 231,782.67, 319,844.87 and 129,784.76 is: 179,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,782.67 : 319,844.87 = 129,784.76 : x
  2. Step 2: Convert to fraction form
    231,782.67/319,844.87 = 129,784.76/x
  3. Step 3: Cross multiply
    231,782.67x = 319,844.87 × 129,784.76
  4. Step 4: Simplify right side
    231,782.67x = 41,510,987,442.03
  5. Step 5: Solve for x
    x = 41,510,987,442.03/231,782.67
  6. Step 6: Final answer
    x = 179,094.44

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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.