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Finding the Fourth Proportional to 132,537.24, 182,969.16 and 102,254.52

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Solution

The fourth proportional to 132,537.24, 182,969.16 and 102,254.52 is: 141,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,537.24 : 182,969.16 = 102,254.52 : x
  2. Step 2: Convert to fraction form
    132,537.24/182,969.16 = 102,254.52/x
  3. Step 3: Cross multiply
    132,537.24x = 182,969.16 × 102,254.52
  4. Step 4: Simplify right side
    132,537.24x = 18,709,423,630.60
  5. Step 5: Solve for x
    x = 18,709,423,630.60/132,537.24
  6. Step 6: Final answer
    x = 141,163.52

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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.