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Finding the Fourth Proportional to 231,456, 319,394.16 and 129,463.74

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Solution

The fourth proportional to 231,456, 319,394.16 and 129,463.74 is: 178,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,456 : 319,394.16 = 129,463.74 : x
  2. Step 2: Convert to fraction form
    231,456/319,394.16 = 129,463.74/x
  3. Step 3: Cross multiply
    231,456x = 319,394.16 × 129,463.74
  4. Step 4: Simplify right side
    231,456x = 41,349,962,487.76
  5. Step 5: Solve for x
    x = 41,349,962,487.76/231,456
  6. Step 6: Final answer
    x = 178,651.50

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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.