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Finding the Fourth Proportional to 264,795, 365,425.20 and 150,070.80

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Solution

The fourth proportional to 264,795, 365,425.20 and 150,070.80 is: 207,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,795 : 365,425.20 = 150,070.80 : x
  2. Step 2: Convert to fraction form
    264,795/365,425.20 = 150,070.80/x
  3. Step 3: Cross multiply
    264,795x = 365,425.20 × 150,070.80
  4. Step 4: Simplify right side
    264,795x = 54,839,652,104.16
  5. Step 5: Solve for x
    x = 54,839,652,104.16/264,795
  6. Step 6: Final answer
    x = 207,102.29

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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.