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Finding the Fourth Proportional to 147,320.32, 220,949.44 and 47,489.44

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Solution

The fourth proportional to 147,320.32, 220,949.44 and 47,489.44 is: 71,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,320.32 : 220,949.44 = 47,489.44 : x
  2. Step 2: Convert to fraction form
    147,320.32/220,949.44 = 47,489.44/x
  3. Step 3: Cross multiply
    147,320.32x = 220,949.44 × 47,489.44
  4. Step 4: Simplify right side
    147,320.32x = 10,492,765,173.91
  5. Step 5: Solve for x
    x = 10,492,765,173.91/147,320.32
  6. Step 6: Final answer
    x = 71,224.15

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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.