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Finding the Fourth Proportional to 116,266, 174,400.68 and 33,160

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Solution

The fourth proportional to 116,266, 174,400.68 and 33,160 is: 49,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,266 : 174,400.68 = 33,160 : x
  2. Step 2: Convert to fraction form
    116,266/174,400.68 = 33,160/x
  3. Step 3: Cross multiply
    116,266x = 174,400.68 × 33,160
  4. Step 4: Simplify right side
    116,266x = 5,783,126,548.80
  5. Step 5: Solve for x
    x = 5,783,126,548.80/116,266
  6. Step 6: Final answer
    x = 49,740.48

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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.