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Finding the Fourth Proportional to 177,000.20, 265,208.70 and 150,756.20

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Solution

The fourth proportional to 177,000.20, 265,208.70 and 150,756.20 is: 225,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,000.20 : 265,208.70 = 150,756.20 : x
  2. Step 2: Convert to fraction form
    177,000.20/265,208.70 = 150,756.20/x
  3. Step 3: Cross multiply
    177,000.20x = 265,208.70 × 150,756.20
  4. Step 4: Simplify right side
    177,000.20x = 39,981,855,818.94
  5. Step 5: Solve for x
    x = 39,981,855,818.94/177,000.20
  6. Step 6: Final answer
    x = 225,885.94

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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.