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Finding the Fourth Proportional to 145,662.18, 201,017.62 and 82,002.30

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Solution

The fourth proportional to 145,662.18, 201,017.62 and 82,002.30 is: 113,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,662.18 : 201,017.62 = 82,002.30 : x
  2. Step 2: Convert to fraction form
    145,662.18/201,017.62 = 82,002.30/x
  3. Step 3: Cross multiply
    145,662.18x = 201,017.62 × 82,002.30
  4. Step 4: Simplify right side
    145,662.18x = 16,483,907,180.53
  5. Step 5: Solve for x
    x = 16,483,907,180.53/145,662.18
  6. Step 6: Final answer
    x = 113,165.32

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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.