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Finding the Fourth Proportional to 182,658.24, 274,142.88 and 71,928

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Solution

The fourth proportional to 182,658.24, 274,142.88 and 71,928 is: 107,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,658.24 : 274,142.88 = 71,928 : x
  2. Step 2: Convert to fraction form
    182,658.24/274,142.88 = 71,928/x
  3. Step 3: Cross multiply
    182,658.24x = 274,142.88 × 71,928
  4. Step 4: Simplify right side
    182,658.24x = 19,718,549,072.64
  5. Step 5: Solve for x
    x = 19,718,549,072.64/182,658.24
  6. Step 6: Final answer
    x = 107,953.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.