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Finding the Fourth Proportional to 468,452.50, 702,698.19 and 136,028.50

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Solution

The fourth proportional to 468,452.50, 702,698.19 and 136,028.50 is: 204,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,452.50 : 702,698.19 = 136,028.50 : x
  2. Step 2: Convert to fraction form
    468,452.50/702,698.19 = 136,028.50/x
  3. Step 3: Cross multiply
    468,452.50x = 702,698.19 × 136,028.50
  4. Step 4: Simplify right side
    468,452.50x = 95,586,980,738.42
  5. Step 5: Solve for x
    x = 95,586,980,738.42/468,452.50
  6. Step 6: Final answer
    x = 204,048.39

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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.