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Finding the Fourth Proportional to 274,164.59, 411,112.01 and 96,645.80

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Solution

The fourth proportional to 274,164.59, 411,112.01 and 96,645.80 is: 144,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,164.59 : 411,112.01 = 96,645.80 : x
  2. Step 2: Convert to fraction form
    274,164.59/411,112.01 = 96,645.80/x
  3. Step 3: Cross multiply
    274,164.59x = 411,112.01 × 96,645.80
  4. Step 4: Simplify right side
    274,164.59x = 39,732,250,365.45
  5. Step 5: Solve for x
    x = 39,732,250,365.45/274,164.59
  6. Step 6: Final answer
    x = 144,921.16

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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.