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Finding the Fourth Proportional to 145,837, 201,233.19 and 82,173.43

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Solution

The fourth proportional to 145,837, 201,233.19 and 82,173.43 is: 113,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,837 : 201,233.19 = 82,173.43 : x
  2. Step 2: Convert to fraction form
    145,837/201,233.19 = 82,173.43/x
  3. Step 3: Cross multiply
    145,837x = 201,233.19 × 82,173.43
  4. Step 4: Simplify right side
    145,837x = 16,536,021,452.14
  5. Step 5: Solve for x
    x = 16,536,021,452.14/145,837
  6. Step 6: Final answer
    x = 113,387.01

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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.