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Finding the Fourth Proportional to 145,576.32, 200,879.04 and 81,936

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Solution

The fourth proportional to 145,576.32, 200,879.04 and 81,936 is: 113,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,576.32 : 200,879.04 = 81,936 : x
  2. Step 2: Convert to fraction form
    145,576.32/200,879.04 = 81,936/x
  3. Step 3: Cross multiply
    145,576.32x = 200,879.04 × 81,936
  4. Step 4: Simplify right side
    145,576.32x = 16,459,225,021.44
  5. Step 5: Solve for x
    x = 16,459,225,021.44/145,576.32
  6. Step 6: Final answer
    x = 113,062.52

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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.