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Finding the Fourth Proportional to 145,672.14, 201,031.31 and 82,012.22

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Solution

The fourth proportional to 145,672.14, 201,031.31 and 82,012.22 is: 113,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672.14 : 201,031.31 = 82,012.22 : x
  2. Step 2: Convert to fraction form
    145,672.14/201,031.31 = 82,012.22/x
  3. Step 3: Cross multiply
    145,672.14x = 201,031.31 × 82,012.22
  4. Step 4: Simplify right side
    145,672.14x = 16,487,022,607.39
  5. Step 5: Solve for x
    x = 16,487,022,607.39/145,672.14
  6. Step 6: Final answer
    x = 113,178.97

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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.