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Finding the Fourth Proportional to 274,187.76, 411,128.81 and 84,594.30

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Solution

The fourth proportional to 274,187.76, 411,128.81 and 84,594.30 is: 126,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,187.76 : 411,128.81 = 84,594.30 : x
  2. Step 2: Convert to fraction form
    274,187.76/411,128.81 = 84,594.30/x
  3. Step 3: Cross multiply
    274,187.76x = 411,128.81 × 84,594.30
  4. Step 4: Simplify right side
    274,187.76x = 34,779,153,891.78
  5. Step 5: Solve for x
    x = 34,779,153,891.78/274,187.76
  6. Step 6: Final answer
    x = 126,844.30

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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.