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Finding the Fourth Proportional to 145,662.10, 201,032.85 and 82,012.30

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Solution

The fourth proportional to 145,662.10, 201,032.85 and 82,012.30 is: 113,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,662.10 : 201,032.85 = 82,012.30 : x
  2. Step 2: Convert to fraction form
    145,662.10/201,032.85 = 82,012.30/x
  3. Step 3: Cross multiply
    145,662.10x = 201,032.85 × 82,012.30
  4. Step 4: Simplify right side
    145,662.10x = 16,487,166,209.02
  5. Step 5: Solve for x
    x = 16,487,166,209.02/145,662.10
  6. Step 6: Final answer
    x = 113,187.76

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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.