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Finding the Fourth Proportional to 209,860.80, 289,599.46 and 114,365.44

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Solution

The fourth proportional to 209,860.80, 289,599.46 and 114,365.44 is: 157,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,860.80 : 289,599.46 = 114,365.44 : x
  2. Step 2: Convert to fraction form
    209,860.80/289,599.46 = 114,365.44/x
  3. Step 3: Cross multiply
    209,860.80x = 289,599.46 × 114,365.44
  4. Step 4: Simplify right side
    209,860.80x = 33,120,169,666.66
  5. Step 5: Solve for x
    x = 33,120,169,666.66/209,860.80
  6. Step 6: Final answer
    x = 157,819.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.