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Finding the Fourth Proportional to 281,006, 421,509.24 and 114,794

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Solution

The fourth proportional to 281,006, 421,509.24 and 114,794 is: 172,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,006 : 421,509.24 = 114,794 : x
  2. Step 2: Convert to fraction form
    281,006/421,509.24 = 114,794/x
  3. Step 3: Cross multiply
    281,006x = 421,509.24 × 114,794
  4. Step 4: Simplify right side
    281,006x = 48,386,731,696.56
  5. Step 5: Solve for x
    x = 48,386,731,696.56/281,006
  6. Step 6: Final answer
    x = 172,191.10

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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.