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Finding the Fourth Proportional to 116,468.34, 174,701.10 and 82,132.68

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Solution

The fourth proportional to 116,468.34, 174,701.10 and 82,132.68 is: 123,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,468.34 : 174,701.10 = 82,132.68 : x
  2. Step 2: Convert to fraction form
    116,468.34/174,701.10 = 82,132.68/x
  3. Step 3: Cross multiply
    116,468.34x = 174,701.10 × 82,132.68
  4. Step 4: Simplify right side
    116,468.34x = 14,348,669,541.95
  5. Step 5: Solve for x
    x = 14,348,669,541.95/116,468.34
  6. Step 6: Final answer
    x = 123,198.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.