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Finding the Fourth Proportional to 271,237.14, 406,800.11 and 102,699.32

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Solution

The fourth proportional to 271,237.14, 406,800.11 and 102,699.32 is: 154,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,237.14 : 406,800.11 = 102,699.32 : x
  2. Step 2: Convert to fraction form
    271,237.14/406,800.11 = 102,699.32/x
  3. Step 3: Cross multiply
    271,237.14x = 406,800.11 × 102,699.32
  4. Step 4: Simplify right side
    271,237.14x = 41,778,094,672.93
  5. Step 5: Solve for x
    x = 41,778,094,672.93/271,237.14
  6. Step 6: Final answer
    x = 154,027.93

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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.