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Finding the Fourth Proportional to 132,138.68, 182,351.50 and 71,709.32

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Solution

The fourth proportional to 132,138.68, 182,351.50 and 71,709.32 is: 98,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,138.68 : 182,351.50 = 71,709.32 : x
  2. Step 2: Convert to fraction form
    132,138.68/182,351.50 = 71,709.32/x
  3. Step 3: Cross multiply
    132,138.68x = 182,351.50 × 71,709.32
  4. Step 4: Simplify right side
    132,138.68x = 13,076,302,065.98
  5. Step 5: Solve for x
    x = 13,076,302,065.98/132,138.68
  6. Step 6: Final answer
    x = 98,958.93

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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.