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Finding the Fourth Proportional to 145,913.31, 201,348.32 and 82,266.75

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Solution

The fourth proportional to 145,913.31, 201,348.32 and 82,266.75 is: 113,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,913.31 : 201,348.32 = 82,266.75 : x
  2. Step 2: Convert to fraction form
    145,913.31/201,348.32 = 82,266.75/x
  3. Step 3: Cross multiply
    145,913.31x = 201,348.32 × 82,266.75
  4. Step 4: Simplify right side
    145,913.31x = 16,564,271,493.03
  5. Step 5: Solve for x
    x = 16,564,271,493.03/145,913.31
  6. Step 6: Final answer
    x = 113,521.32

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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.