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Finding the Fourth Proportional to 456,713.87, 685,136.43 and 141,195.38

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Solution

The fourth proportional to 456,713.87, 685,136.43 and 141,195.38 is: 211,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,713.87 : 685,136.43 = 141,195.38 : x
  2. Step 2: Convert to fraction form
    456,713.87/685,136.43 = 141,195.38/x
  3. Step 3: Cross multiply
    456,713.87x = 685,136.43 × 141,195.38
  4. Step 4: Simplify right side
    456,713.87x = 96,738,095,160.01
  5. Step 5: Solve for x
    x = 96,738,095,160.01/456,713.87
  6. Step 6: Final answer
    x = 211,813.35

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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.