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Finding the Fourth Proportional to 132,407.37, 182,714.49 and 71,977.50

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Solution

The fourth proportional to 132,407.37, 182,714.49 and 71,977.50 is: 99,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,407.37 : 182,714.49 = 71,977.50 : x
  2. Step 2: Convert to fraction form
    132,407.37/182,714.49 = 71,977.50/x
  3. Step 3: Cross multiply
    132,407.37x = 182,714.49 × 71,977.50
  4. Step 4: Simplify right side
    132,407.37x = 13,151,332,203.98
  5. Step 5: Solve for x
    x = 13,151,332,203.98/132,407.37
  6. Step 6: Final answer
    x = 99,324.77

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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.