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Finding the Fourth Proportional to 132,134.68, 182,333.82 and 78,410.44

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Solution

The fourth proportional to 132,134.68, 182,333.82 and 78,410.44 is: 108,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,134.68 : 182,333.82 = 78,410.44 : x
  2. Step 2: Convert to fraction form
    132,134.68/182,333.82 = 78,410.44/x
  3. Step 3: Cross multiply
    132,134.68x = 182,333.82 × 78,410.44
  4. Step 4: Simplify right side
    132,134.68x = 14,296,875,053.08
  5. Step 5: Solve for x
    x = 14,296,875,053.08/132,134.68
  6. Step 6: Final answer
    x = 108,199.26

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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.