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Finding the Fourth Proportional to 271,884.50, 375,211.14 and 151,034.96

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Solution

The fourth proportional to 271,884.50, 375,211.14 and 151,034.96 is: 208,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,884.50 : 375,211.14 = 151,034.96 : x
  2. Step 2: Convert to fraction form
    271,884.50/375,211.14 = 151,034.96/x
  3. Step 3: Cross multiply
    271,884.50x = 375,211.14 × 151,034.96
  4. Step 4: Simplify right side
    271,884.50x = 56,669,999,521.45
  5. Step 5: Solve for x
    x = 56,669,999,521.45/271,884.50
  6. Step 6: Final answer
    x = 208,434.09

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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.