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Finding the Fourth Proportional to 468,057.80, 702,200.10 and 135,633.80

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Solution

The fourth proportional to 468,057.80, 702,200.10 and 135,633.80 is: 203,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,057.80 : 702,200.10 = 135,633.80 : x
  2. Step 2: Convert to fraction form
    468,057.80/702,200.10 = 135,633.80/x
  3. Step 3: Cross multiply
    468,057.80x = 702,200.10 × 135,633.80
  4. Step 4: Simplify right side
    468,057.80x = 95,242,067,923.38
  5. Step 5: Solve for x
    x = 95,242,067,923.38/468,057.80
  6. Step 6: Final answer
    x = 203,483.56

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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.