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Finding the Fourth Proportional to 145,893.81, 201,321.39 and 82,247.25

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Solution

The fourth proportional to 145,893.81, 201,321.39 and 82,247.25 is: 113,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.81 : 201,321.39 = 82,247.25 : x
  2. Step 2: Convert to fraction form
    145,893.81/201,321.39 = 82,247.25/x
  3. Step 3: Cross multiply
    145,893.81x = 201,321.39 × 82,247.25
  4. Step 4: Simplify right side
    145,893.81x = 16,558,130,693.68
  5. Step 5: Solve for x
    x = 16,558,130,693.68/145,893.81
  6. Step 6: Final answer
    x = 113,494.40

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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.