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Finding the Fourth Proportional to 264,995.28, 365,728.80 and 150,315.36

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Solution

The fourth proportional to 264,995.28, 365,728.80 and 150,315.36 is: 207,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,995.28 : 365,728.80 = 150,315.36 : x
  2. Step 2: Convert to fraction form
    264,995.28/365,728.80 = 150,315.36/x
  3. Step 3: Cross multiply
    264,995.28x = 365,728.80 × 150,315.36
  4. Step 4: Simplify right side
    264,995.28x = 54,974,656,234.37
  5. Step 5: Solve for x
    x = 54,974,656,234.37/264,995.28
  6. Step 6: Final answer
    x = 207,455.23

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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.