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Finding the Fourth Proportional to 209,421.80, 314,132.70 and 167,949.80

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Solution

The fourth proportional to 209,421.80, 314,132.70 and 167,949.80 is: 251,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,421.80 : 314,132.70 = 167,949.80 : x
  2. Step 2: Convert to fraction form
    209,421.80/314,132.70 = 167,949.80/x
  3. Step 3: Cross multiply
    209,421.80x = 314,132.70 × 167,949.80
  4. Step 4: Simplify right side
    209,421.80x = 52,758,524,138.46
  5. Step 5: Solve for x
    x = 52,758,524,138.46/209,421.80
  6. Step 6: Final answer
    x = 251,924.70

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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.