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Finding the Fourth Proportional to 205,807.80, 308,711.70 and 171,982.20

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Solution

The fourth proportional to 205,807.80, 308,711.70 and 171,982.20 is: 257,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.80 : 308,711.70 = 171,982.20 : x
  2. Step 2: Convert to fraction form
    205,807.80/308,711.70 = 171,982.20/x
  3. Step 3: Cross multiply
    205,807.80x = 308,711.70 × 171,982.20
  4. Step 4: Simplify right side
    205,807.80x = 53,092,917,331.74
  5. Step 5: Solve for x
    x = 53,092,917,331.74/205,807.80
  6. Step 6: Final answer
    x = 257,973.30

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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.