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Finding the Fourth Proportional to 176,738.20, 264,815.70 and 150,494.20

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Solution

The fourth proportional to 176,738.20, 264,815.70 and 150,494.20 is: 225,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,738.20 : 264,815.70 = 150,494.20 : x
  2. Step 2: Convert to fraction form
    176,738.20/264,815.70 = 150,494.20/x
  3. Step 3: Cross multiply
    176,738.20x = 264,815.70 × 150,494.20
  4. Step 4: Simplify right side
    176,738.20x = 39,853,226,918.94
  5. Step 5: Solve for x
    x = 39,853,226,918.94/176,738.20
  6. Step 6: Final answer
    x = 225,493.00

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1.5x scale

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.