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Finding the Fourth Proportional to 231,516.78, 319,534.05 and 136,023.42

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Solution

The fourth proportional to 231,516.78, 319,534.05 and 136,023.42 is: 187,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,516.78 : 319,534.05 = 136,023.42 : x
  2. Step 2: Convert to fraction form
    231,516.78/319,534.05 = 136,023.42/x
  3. Step 3: Cross multiply
    231,516.78x = 319,534.05 × 136,023.42
  4. Step 4: Simplify right side
    231,516.78x = 43,464,114,287.45
  5. Step 5: Solve for x
    x = 43,464,114,287.45/231,516.78
  6. Step 6: Final answer
    x = 187,736.35

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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.