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Finding the Fourth Proportional to 274,219.51, 411,303.34 and 87,198.07

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Solution

The fourth proportional to 274,219.51, 411,303.34 and 87,198.07 is: 130,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,219.51 : 411,303.34 = 87,198.07 : x
  2. Step 2: Convert to fraction form
    274,219.51/411,303.34 = 87,198.07/x
  3. Step 3: Cross multiply
    274,219.51x = 411,303.34 × 87,198.07
  4. Step 4: Simplify right side
    274,219.51x = 35,864,857,432.55
  5. Step 5: Solve for x
    x = 35,864,857,432.55/274,219.51
  6. Step 6: Final answer
    x = 130,788.86

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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.