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Finding the Fourth Proportional to 150,343.81, 207,469.05 and 85,816.38

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Solution

The fourth proportional to 150,343.81, 207,469.05 and 85,816.38 is: 118,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,343.81 : 207,469.05 = 85,816.38 : x
  2. Step 2: Convert to fraction form
    150,343.81/207,469.05 = 85,816.38/x
  3. Step 3: Cross multiply
    150,343.81x = 207,469.05 × 85,816.38
  4. Step 4: Simplify right side
    150,343.81x = 17,804,242,122.22
  5. Step 5: Solve for x
    x = 17,804,242,122.22/150,343.81
  6. Step 6: Final answer
    x = 118,423.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.