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Finding the Fourth Proportional to 231,474.49, 319,443.88 and 135,980.35

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Solution

The fourth proportional to 231,474.49, 319,443.88 and 135,980.35 is: 187,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,474.49 : 319,443.88 = 135,980.35 : x
  2. Step 2: Convert to fraction form
    231,474.49/319,443.88 = 135,980.35/x
  3. Step 3: Cross multiply
    231,474.49x = 319,443.88 × 135,980.35
  4. Step 4: Simplify right side
    231,474.49x = 43,438,090,607.76
  5. Step 5: Solve for x
    x = 43,438,090,607.76/231,474.49
  6. Step 6: Final answer
    x = 187,658.22

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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.