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Finding the Fourth Proportional to 264,736.80, 397,105.20 and 152,762.40

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Solution

The fourth proportional to 264,736.80, 397,105.20 and 152,762.40 is: 229,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,736.80 : 397,105.20 = 152,762.40 : x
  2. Step 2: Convert to fraction form
    264,736.80/397,105.20 = 152,762.40/x
  3. Step 3: Cross multiply
    264,736.80x = 397,105.20 × 152,762.40
  4. Step 4: Simplify right side
    264,736.80x = 60,662,743,404.48
  5. Step 5: Solve for x
    x = 60,662,743,404.48/264,736.80
  6. Step 6: Final answer
    x = 229,143.60

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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.