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Finding the Fourth Proportional to 209,847.20, 314,770.80 and 195,920.80

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Solution

The fourth proportional to 209,847.20, 314,770.80 and 195,920.80 is: 293,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,847.20 : 314,770.80 = 195,920.80 : x
  2. Step 2: Convert to fraction form
    209,847.20/314,770.80 = 195,920.80/x
  3. Step 3: Cross multiply
    209,847.20x = 314,770.80 × 195,920.80
  4. Step 4: Simplify right side
    209,847.20x = 61,670,146,952.64
  5. Step 5: Solve for x
    x = 61,670,146,952.64/209,847.20
  6. Step 6: Final answer
    x = 293,881.20

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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.