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Finding the Fourth Proportional to 378,314.53, 567,554.82 and 112,095.88

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Solution

The fourth proportional to 378,314.53, 567,554.82 and 112,095.88 is: 168,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,314.53 : 567,554.82 = 112,095.88 : x
  2. Step 2: Convert to fraction form
    378,314.53/567,554.82 = 112,095.88/x
  3. Step 3: Cross multiply
    378,314.53x = 567,554.82 × 112,095.88
  4. Step 4: Simplify right side
    378,314.53x = 63,620,556,996.14
  5. Step 5: Solve for x
    x = 63,620,556,996.14/378,314.53
  6. Step 6: Final answer
    x = 168,168.42

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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.