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Finding the Fourth Proportional to 200,004.20, 300,006.30 and 177,885.80

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Solution

The fourth proportional to 200,004.20, 300,006.30 and 177,885.80 is: 266,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004.20 : 300,006.30 = 177,885.80 : x
  2. Step 2: Convert to fraction form
    200,004.20/300,006.30 = 177,885.80/x
  3. Step 3: Cross multiply
    200,004.20x = 300,006.30 × 177,885.80
  4. Step 4: Simplify right side
    200,004.20x = 53,366,860,680.54
  5. Step 5: Solve for x
    x = 53,366,860,680.54/200,004.20
  6. Step 6: Final answer
    x = 266,828.70

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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.