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Finding the Fourth Proportional to 204,941.60, 307,412.40 and 167,543.90

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Solution

The fourth proportional to 204,941.60, 307,412.40 and 167,543.90 is: 251,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,941.60 : 307,412.40 = 167,543.90 : x
  2. Step 2: Convert to fraction form
    204,941.60/307,412.40 = 167,543.90/x
  3. Step 3: Cross multiply
    204,941.60x = 307,412.40 × 167,543.90
  4. Step 4: Simplify right side
    204,941.60x = 51,505,072,404.36
  5. Step 5: Solve for x
    x = 51,505,072,404.36/204,941.60
  6. Step 6: Final answer
    x = 251,315.85

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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.