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Finding the Fourth Proportional to 295,878.36, 408,311.58 and 161,742.36

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Solution

The fourth proportional to 295,878.36, 408,311.58 and 161,742.36 is: 223,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,878.36 : 408,311.58 = 161,742.36 : x
  2. Step 2: Convert to fraction form
    295,878.36/408,311.58 = 161,742.36/x
  3. Step 3: Cross multiply
    295,878.36x = 408,311.58 × 161,742.36
  4. Step 4: Simplify right side
    295,878.36x = 66,041,278,564.53
  5. Step 5: Solve for x
    x = 66,041,278,564.53/295,878.36
  6. Step 6: Final answer
    x = 223,204.15

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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.