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Finding the Fourth Proportional to 132,382.50, 182,683.36 and 75,782.94

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Solution

The fourth proportional to 132,382.50, 182,683.36 and 75,782.94 is: 104,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.50 : 182,683.36 = 75,782.94 : x
  2. Step 2: Convert to fraction form
    132,382.50/182,683.36 = 75,782.94/x
  3. Step 3: Cross multiply
    132,382.50x = 182,683.36 × 75,782.94
  4. Step 4: Simplify right side
    132,382.50x = 13,844,282,109.88
  5. Step 5: Solve for x
    x = 13,844,282,109.88/132,382.50
  6. Step 6: Final answer
    x = 104,577.89

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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.