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Finding the Fourth Proportional to 231,534.72, 319,384.08 and 136,021.68

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Solution

The fourth proportional to 231,534.72, 319,384.08 and 136,021.68 is: 187,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,534.72 : 319,384.08 = 136,021.68 : x
  2. Step 2: Convert to fraction form
    231,534.72/319,384.08 = 136,021.68/x
  3. Step 3: Cross multiply
    231,534.72x = 319,384.08 × 136,021.68
  4. Step 4: Simplify right side
    231,534.72x = 43,443,159,126.85
  5. Step 5: Solve for x
    x = 43,443,159,126.85/231,534.72
  6. Step 6: Final answer
    x = 187,631.29

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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.