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Finding the Fourth Proportional to 132,408.36, 182,782.44 and 78,710.76

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Solution

The fourth proportional to 132,408.36, 182,782.44 and 78,710.76 is: 108,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,408.36 : 182,782.44 = 78,710.76 : x
  2. Step 2: Convert to fraction form
    132,408.36/182,782.44 = 78,710.76/x
  3. Step 3: Cross multiply
    132,408.36x = 182,782.44 × 78,710.76
  4. Step 4: Simplify right side
    132,408.36x = 14,386,944,767.05
  5. Step 5: Solve for x
    x = 14,386,944,767.05/132,408.36
  6. Step 6: Final answer
    x = 108,655.86

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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.