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Finding the Fourth Proportional to 200,420.20, 300,047.10 and 177,092.20

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Solution

The fourth proportional to 200,420.20, 300,047.10 and 177,092.20 is: 265,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420.20 : 300,047.10 = 177,092.20 : x
  2. Step 2: Convert to fraction form
    200,420.20/300,047.10 = 177,092.20/x
  3. Step 3: Cross multiply
    200,420.20x = 300,047.10 × 177,092.20
  4. Step 4: Simplify right side
    200,420.20x = 53,136,001,042.62
  5. Step 5: Solve for x
    x = 53,136,001,042.62/200,420.20
  6. Step 6: Final answer
    x = 265,122.98

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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.