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Finding the Fourth Proportional to 145,797.48, 201,165.12 and 82,135.20

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Solution

The fourth proportional to 145,797.48, 201,165.12 and 82,135.20 is: 113,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,797.48 : 201,165.12 = 82,135.20 : x
  2. Step 2: Convert to fraction form
    145,797.48/201,165.12 = 82,135.20/x
  3. Step 3: Cross multiply
    145,797.48x = 201,165.12 × 82,135.20
  4. Step 4: Simplify right side
    145,797.48x = 16,522,737,364.22
  5. Step 5: Solve for x
    x = 16,522,737,364.22/145,797.48
  6. Step 6: Final answer
    x = 113,326.63

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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.