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Finding the Fourth Proportional to 275,625.60, 413,219.70 and 150,966.60

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Solution

The fourth proportional to 275,625.60, 413,219.70 and 150,966.60 is: 226,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,625.60 : 413,219.70 = 150,966.60 : x
  2. Step 2: Convert to fraction form
    275,625.60/413,219.70 = 150,966.60/x
  3. Step 3: Cross multiply
    275,625.60x = 413,219.70 × 150,966.60
  4. Step 4: Simplify right side
    275,625.60x = 62,382,373,162.02
  5. Step 5: Solve for x
    x = 62,382,373,162.02/275,625.60
  6. Step 6: Final answer
    x = 226,330.11

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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.