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Finding the Fourth Proportional to 206,033.70, 309,050.55 and 171,041.70

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Solution

The fourth proportional to 206,033.70, 309,050.55 and 171,041.70 is: 256,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033.70 : 309,050.55 = 171,041.70 : x
  2. Step 2: Convert to fraction form
    206,033.70/309,050.55 = 171,041.70/x
  3. Step 3: Cross multiply
    206,033.70x = 309,050.55 × 171,041.70
  4. Step 4: Simplify right side
    206,033.70x = 52,860,531,457.94
  5. Step 5: Solve for x
    x = 52,860,531,457.94/206,033.70
  6. Step 6: Final answer
    x = 256,562.55

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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.