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Finding the Fourth Proportional to 127,136, 175,447.68 and 82,424

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Solution

The fourth proportional to 127,136, 175,447.68 and 82,424 is: 113,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,136 : 175,447.68 = 82,424 : x
  2. Step 2: Convert to fraction form
    127,136/175,447.68 = 82,424/x
  3. Step 3: Cross multiply
    127,136x = 175,447.68 × 82,424
  4. Step 4: Simplify right side
    127,136x = 14,461,099,576.32
  5. Step 5: Solve for x
    x = 14,461,099,576.32/127,136
  6. Step 6: Final answer
    x = 113,745.12

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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.