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Finding the Fourth Proportional to 364,149.52, 546,224.28 and 114,850.96

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Solution

The fourth proportional to 364,149.52, 546,224.28 and 114,850.96 is: 172,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,149.52 : 546,224.28 = 114,850.96 : x
  2. Step 2: Convert to fraction form
    364,149.52/546,224.28 = 114,850.96/x
  3. Step 3: Cross multiply
    364,149.52x = 546,224.28 × 114,850.96
  4. Step 4: Simplify right side
    364,149.52x = 62,734,382,933.31
  5. Step 5: Solve for x
    x = 62,734,382,933.31/364,149.52
  6. Step 6: Final answer
    x = 172,276.44

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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.