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Finding the Fourth Proportional to 145,887.40, 201,318.78 and 82,238.41

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Solution

The fourth proportional to 145,887.40, 201,318.78 and 82,238.41 is: 113,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,887.40 : 201,318.78 = 82,238.41 : x
  2. Step 2: Convert to fraction form
    145,887.40/201,318.78 = 82,238.41/x
  3. Step 3: Cross multiply
    145,887.40x = 201,318.78 × 82,238.41
  4. Step 4: Simplify right side
    145,887.40x = 16,556,136,370.34
  5. Step 5: Solve for x
    x = 16,556,136,370.34/145,887.40
  6. Step 6: Final answer
    x = 113,485.72

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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.