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Finding the Fourth Proportional to 364,137.69, 546,206.53 and 114,819.69

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Solution

The fourth proportional to 364,137.69, 546,206.53 and 114,819.69 is: 172,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,137.69 : 546,206.53 = 114,819.69 : x
  2. Step 2: Convert to fraction form
    364,137.69/546,206.53 = 114,819.69/x
  3. Step 3: Cross multiply
    364,137.69x = 546,206.53 × 114,819.69
  4. Step 4: Simplify right side
    364,137.69x = 62,715,264,450.58
  5. Step 5: Solve for x
    x = 62,715,264,450.58/364,137.69
  6. Step 6: Final answer
    x = 172,229.53

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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.