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Finding the Fourth Proportional to 295,866.17, 408,297.19 and 159,899.80

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Solution

The fourth proportional to 295,866.17, 408,297.19 and 159,899.80 is: 220,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,866.17 : 408,297.19 = 159,899.80 : x
  2. Step 2: Convert to fraction form
    295,866.17/408,297.19 = 159,899.80/x
  3. Step 3: Cross multiply
    295,866.17x = 408,297.19 × 159,899.80
  4. Step 4: Simplify right side
    295,866.17x = 65,286,638,621.81
  5. Step 5: Solve for x
    x = 65,286,638,621.81/295,866.17
  6. Step 6: Final answer
    x = 220,662.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.