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Finding the Fourth Proportional to 468,451.75, 702,697.07 and 136,027.75

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Solution

The fourth proportional to 468,451.75, 702,697.07 and 136,027.75 is: 204,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,451.75 : 702,697.07 = 136,027.75 : x
  2. Step 2: Convert to fraction form
    468,451.75/702,697.07 = 136,027.75/x
  3. Step 3: Cross multiply
    468,451.75x = 702,697.07 × 136,027.75
  4. Step 4: Simplify right side
    468,451.75x = 95,586,301,363.69
  5. Step 5: Solve for x
    x = 95,586,301,363.69/468,451.75
  6. Step 6: Final answer
    x = 204,047.27

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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.