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Finding the Fourth Proportional to 207,971.80, 311,957.70 and 83,402.20

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Solution

The fourth proportional to 207,971.80, 311,957.70 and 83,402.20 is: 125,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971.80 : 311,957.70 = 83,402.20 : x
  2. Step 2: Convert to fraction form
    207,971.80/311,957.70 = 83,402.20/x
  3. Step 3: Cross multiply
    207,971.80x = 311,957.70 × 83,402.20
  4. Step 4: Simplify right side
    207,971.80x = 26,017,958,486.94
  5. Step 5: Solve for x
    x = 26,017,958,486.94/207,971.80
  6. Step 6: Final answer
    x = 125,103.30

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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.