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Finding the Fourth Proportional to 200,412.20, 300,035.10 and 177,084.20

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Solution

The fourth proportional to 200,412.20, 300,035.10 and 177,084.20 is: 265,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,412.20 : 300,035.10 = 177,084.20 : x
  2. Step 2: Convert to fraction form
    200,412.20/300,035.10 = 177,084.20/x
  3. Step 3: Cross multiply
    200,412.20x = 300,035.10 × 177,084.20
  4. Step 4: Simplify right side
    200,412.20x = 53,131,475,655.42
  5. Step 5: Solve for x
    x = 53,131,475,655.42/200,412.20
  6. Step 6: Final answer
    x = 265,110.98

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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.