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Finding the Fourth Proportional to 99,571.54, 149,384.98 and 43,416.54

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Solution

The fourth proportional to 99,571.54, 149,384.98 and 43,416.54 is: 65,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,571.54 : 149,384.98 = 43,416.54 : x
  2. Step 2: Convert to fraction form
    99,571.54/149,384.98 = 43,416.54/x
  3. Step 3: Cross multiply
    99,571.54x = 149,384.98 × 43,416.54
  4. Step 4: Simplify right side
    99,571.54x = 6,485,778,959.57
  5. Step 5: Solve for x
    x = 6,485,778,959.57/99,571.54
  6. Step 6: Final answer
    x = 65,136.88

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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.