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Finding the Fourth Proportional to 147,198.92, 220,798.38 and 40,583.70

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Solution

The fourth proportional to 147,198.92, 220,798.38 and 40,583.70 is: 60,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,198.92 : 220,798.38 = 40,583.70 : x
  2. Step 2: Convert to fraction form
    147,198.92/220,798.38 = 40,583.70/x
  3. Step 3: Cross multiply
    147,198.92x = 220,798.38 × 40,583.70
  4. Step 4: Simplify right side
    147,198.92x = 8,960,814,320.96
  5. Step 5: Solve for x
    x = 8,960,814,320.96/147,198.92
  6. Step 6: Final answer
    x = 60,875.54

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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.