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Finding the Fourth Proportional to 209,406.80, 314,110.20 and 167,934.80

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Solution

The fourth proportional to 209,406.80, 314,110.20 and 167,934.80 is: 251,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,406.80 : 314,110.20 = 167,934.80 : x
  2. Step 2: Convert to fraction form
    209,406.80/314,110.20 = 167,934.80/x
  3. Step 3: Cross multiply
    209,406.80x = 314,110.20 × 167,934.80
  4. Step 4: Simplify right side
    209,406.80x = 52,750,033,614.96
  5. Step 5: Solve for x
    x = 52,750,033,614.96/209,406.80
  6. Step 6: Final answer
    x = 251,902.20

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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.