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Finding the Fourth Proportional to 231,653.34, 319,681.72 and 129,679

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Solution

The fourth proportional to 231,653.34, 319,681.72 and 129,679 is: 178,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,653.34 : 319,681.72 = 129,679 : x
  2. Step 2: Convert to fraction form
    231,653.34/319,681.72 = 129,679/x
  3. Step 3: Cross multiply
    231,653.34x = 319,681.72 × 129,679
  4. Step 4: Simplify right side
    231,653.34x = 41,456,005,767.88
  5. Step 5: Solve for x
    x = 41,456,005,767.88/231,653.34
  6. Step 6: Final answer
    x = 178,957.08

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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.