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Finding the Fourth Proportional to 271,742.58, 407,243.22 and 103,172.64

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Solution

The fourth proportional to 271,742.58, 407,243.22 and 103,172.64 is: 154,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,742.58 : 407,243.22 = 103,172.64 : x
  2. Step 2: Convert to fraction form
    271,742.58/407,243.22 = 103,172.64/x
  3. Step 3: Cross multiply
    271,742.58x = 407,243.22 × 103,172.64
  4. Step 4: Simplify right side
    271,742.58x = 42,016,358,129.50
  5. Step 5: Solve for x
    x = 42,016,358,129.50/271,742.58
  6. Step 6: Final answer
    x = 154,618.24

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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.