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Finding the Fourth Proportional to 468,501.50, 702,771.69 and 136,077.50

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Solution

The fourth proportional to 468,501.50, 702,771.69 and 136,077.50 is: 204,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,501.50 : 702,771.69 = 136,077.50 : x
  2. Step 2: Convert to fraction form
    468,501.50/702,771.69 = 136,077.50/x
  3. Step 3: Cross multiply
    468,501.50x = 702,771.69 × 136,077.50
  4. Step 4: Simplify right side
    468,501.50x = 95,631,414,645.98
  5. Step 5: Solve for x
    x = 95,631,414,645.98/468,501.50
  6. Step 6: Final answer
    x = 204,121.90

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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.