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Finding the Fourth Proportional to 207,909.80, 311,864.70 and 193,164.20

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Solution

The fourth proportional to 207,909.80, 311,864.70 and 193,164.20 is: 289,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909.80 : 311,864.70 = 193,164.20 : x
  2. Step 2: Convert to fraction form
    207,909.80/311,864.70 = 193,164.20/x
  3. Step 3: Cross multiply
    207,909.80x = 311,864.70 × 193,164.20
  4. Step 4: Simplify right side
    207,909.80x = 60,241,095,283.74
  5. Step 5: Solve for x
    x = 60,241,095,283.74/207,909.80
  6. Step 6: Final answer
    x = 289,746.30

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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.