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Finding the Fourth Proportional to 207,470.80, 311,206.20 and 157,704.40

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Solution

The fourth proportional to 207,470.80, 311,206.20 and 157,704.40 is: 236,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,470.80 : 311,206.20 = 157,704.40 : x
  2. Step 2: Convert to fraction form
    207,470.80/311,206.20 = 157,704.40/x
  3. Step 3: Cross multiply
    207,470.80x = 311,206.20 × 157,704.40
  4. Step 4: Simplify right side
    207,470.80x = 49,078,587,047.28
  5. Step 5: Solve for x
    x = 49,078,587,047.28/207,470.80
  6. Step 6: Final answer
    x = 236,556.60

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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.