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Finding the Fourth Proportional to 274,220.76, 411,305.22 and 87,199.32

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Solution

The fourth proportional to 274,220.76, 411,305.22 and 87,199.32 is: 130,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,220.76 : 411,305.22 = 87,199.32 : x
  2. Step 2: Convert to fraction form
    274,220.76/411,305.22 = 87,199.32/x
  3. Step 3: Cross multiply
    274,220.76x = 411,305.22 × 87,199.32
  4. Step 4: Simplify right side
    274,220.76x = 35,865,535,496.45
  5. Step 5: Solve for x
    x = 35,865,535,496.45/274,220.76
  6. Step 6: Final answer
    x = 130,790.74

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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.